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Calculus by Christee
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Добавлен 4 дек 2021
High school math teacher explains various topics in Calculus, Algebra I, and Geometry in short, helpful videos!
2024 FRQ #6 - AP Calculus AB
FRQ #6 from the 2024 AP Calculus AB exam.
Find the FRQs from College Board here:
apcentral.collegeboard.org/courses/ap-calculus-ab/exam/past-exam-questions
Find the FRQs from College Board here:
apcentral.collegeboard.org/courses/ap-calculus-ab/exam/past-exam-questions
Просмотров: 273
Видео
2024 FRQ #5 - AP Calculus AB
Просмотров 3345 месяцев назад
FRQ #5 from the 2024 AP Calculus AB exam. Find the FRQs from College Board here: apcentral.collegeboard.org/courses/ap-calculus-ab/exam/past-exam-questions
2024 FRQ #4 - AP Calculus AB & AP Calculus BC
Просмотров 5595 месяцев назад
FRQ #4 from the 2024 AP Calculus AB & AP Calculus BC exams. Find the FRQs from College Board here: apcentral.collegeboard.org/courses/ap-calculus-ab/exam/past-exam-questions
2024 FRQ #3 - AP Calculus AB & AP Calculus BC
Просмотров 5145 месяцев назад
FRQ #3 from the 2024 AP Calculus AB & AP Calculus BC exams. Find the FRQs from College Board here: apcentral.collegeboard.org/courses/ap-calculus-ab/exam/past-exam-questions
2024 FRQ #2 - AP Calculus AB
Просмотров 3935 месяцев назад
FRQ #2 from the 2024 AP Calculus AB exam. Find the FRQs from College Board here: apcentral.collegeboard.org/courses/ap-calculus-ab/exam/past-exam-questions
2024 FRQ #1 - AP Calculus AB & AP Calculus BC
Просмотров 5365 месяцев назад
FRQ #1 from the 2024 AP Calculus AB & AP Calculus BC exams. Find the FRQs from College Board here: apcentral.collegeboard.org/courses/ap-calculus-ab/exam/past-exam-questions
How to get a 5 on the AP Calculus Exam - COMPLETE Unit 8 Review (Applications of Integration)
Просмотров 3555 месяцев назад
If you're wondering how to get a 5 on the AP Calculus exam, you first need to KNOW YOUR CONTENT! This video is a complete review of everything you need to know for Unit 8: Applications of Integration! In this video, we cover: 00:33 1) Average Value of a Function 01:37 2) Position, Velocity, and Acceleration with Integrals 03:53 3) Find the Area Between Curves 05:47 4) Find Volume using Cross-Se...
How to get a 5 on the AP Calculus AB Exam - COMPLETE Unit 7 Review (Differential Equations)
Просмотров 1755 месяцев назад
If you're wondering how to get a 5 on the AP Calculus exam, you first need to KNOW YOUR CONTENT! This video is a complete review of everything you need to know for Unit 7: Differential Equations! In this video, we cover: 00:33 1) What is a differential equation? 01:28 2) Separate and Integrate - How to find general and particular solutions? 06:14 3) Slope Fields 09:40 4) Exponential Models AP C...
How to get a 5 on the AP Calculus AB Exam - COMPLETE Unit 6 Review
Просмотров 2145 месяцев назад
If you're wondering how to get a 5 on the AP Calculus exam, you first need to KNOW YOUR CONTENT! This video is a complete review of everything you need to know for Unit 6: Integration and Accumulation of Change! In this video, we cover: 00:35 1) Approximate Area using Riemann Sums & Trapezoidal Sums 07:45 2) Fundamental Theorem of Calculus 09:56 3) Properties of Definite Integrals 12:04 4) Comm...
How to get a 5 on the AP Calculus Exam - COMPLETE Unit 5 Review
Просмотров 2815 месяцев назад
If you're wondering how to get a 5 on the AP Calculus exam, you first need to KNOW YOUR CONTENT! This video is a complete review of everything you need to know for Unit 5: Analytical Applications of Differentiation! In this video, we cover: 00:19 1) Mean Value Theorem 02:46 2) Extreme Value Theorem 04:26 3) What is the First Derivative and the First Derivative Test? 09:23 4) Candidate's Test 12...
Unit 4 Review - AP Calculus AB and BC
Просмотров 5406 месяцев назад
This video is a complete review of everything you need to know for Unit 4 of AP Calculus AB and BC: Contextual Applications of Differentiation. This video includes an overview of Interpreting the Meaning of a Derivative in Context; Position, Velocity, and Acceleration; Related Rates; Writing Equations of Tangent Lines, and L'Hospital's Rule. In this video, we cover: 00:12 1) Interpret the meani...
Unit 3 Review - AP Calculus AB and BC
Просмотров 8536 месяцев назад
This video is a complete review of everything you need to know for Unit 3 of AP Calculus AB and BC: Differentiation: Composite, Implicit, and Inverse Functions. In this video, we cover: 00:12 1) Chain Rule 01:10 2) Implicit Differentiation 03:42 3) Derivative of an Inverse Function 05:02 4) Derivatives of Inverse Trigonometric Functions 06:22 5) Higher-Order Derivatives Here are some other vide...
How to get a 5 on the AP Calculus Exam - COMPLETE Unit 2 Review
Просмотров 2586 месяцев назад
If you're wondering how to get a 5 on the AP Calculus exam, you first need to KNOW YOUR CONTENT! This video is a complete review of everything you need to know for Unit 2 - Differentiation: Definition & Basic Derivative Rules. In this video, we cover: 00:27 1) What is a derivative? 01:31 2) What is the limit definition of a derivative? 04:45 3) When does a derivative NOT exist? 07:39 4) Derivat...
How to get a 5 on the AP Calculus Exam - COMPLETE Unit 1 Review (Limits & Continuity)
Просмотров 4216 месяцев назад
If you're wondering how to get a 5 on the AP Calculus exam, you first need to KNOW YOUR CONTENT! This video is a complete review of everything you need to know for Unit 1: Limits & Continuity! In this video, we cover: 00:33 1) What is a limit? 01:26 2) How to find a limit from a graph? 03:45 3) How to find a limit from a table? 05:22 4) How to find a limit using algebra? 10:14 5) What is the Sq...
Integral of 1/sqrt(4x-x^2) (THE EASY WAY!)
Просмотров 1,2 тыс.7 месяцев назад
Integral of 1/sqrt(4x-x^2) (THE EASY WAY!)
Box Method of Factoring (Easy tutorial!)
Просмотров 1,5 тыс.7 месяцев назад
Box Method of Factoring (Easy tutorial!)
How to find the gcd (THE EASY WAY!)
Просмотров 2,6 тыс.7 месяцев назад
How to find the gcd (THE EASY WAY!)
Integration by Completing the Square into Inverse Trigonometric Functions (arcsin and arctan)
Просмотров 2187 месяцев назад
Integration by Completing the Square into Inverse Trigonometric Functions (arcsin and arctan)
Hard Logarithmic Equation with an Easy Answer!
Просмотров 1447 месяцев назад
Hard Logarithmic Equation with an Easy Answer!
Finding Local Maximum and Minimum Values of a Function - Relative Extrema - First Derivative Test
Просмотров 1588 месяцев назад
Finding Local Maximum and Minimum Values of a Function - Relative Extrema - First Derivative Test
Master How to Integrate Using U-Substitution with 20 Downloadable Questions!
Просмотров 1798 месяцев назад
Master How to Integrate Using U-Substitution with 20 Downloadable Questions!
What is the derivative of an exponential function?
Просмотров 1418 месяцев назад
What is the derivative of an exponential function?
What is the derivative of 1/x^2-5/x^3?
Просмотров 1078 месяцев назад
What is the derivative of 1/x^2-5/x^3?
Math Team Problem | Evaluate Intimidating Logarithm Without a Calculator
Просмотров 1218 месяцев назад
Math Team Problem | Evaluate Intimidating Logarithm Without a Calculator
What is the derivative of e^(4x^4+3x^3)?
Просмотров 1669 месяцев назад
What is the derivative of e^(4x^4 3x^3)?
What is the derivative of ln(2x^4+x^3)?
Просмотров 8009 месяцев назад
What is the derivative of ln(2x^4 x^3)?
Evaluate the limit as x approaches 0 of -7sin(10x)/5x
Просмотров 2119 месяцев назад
Evaluate the limit as x approaches 0 of -7sin(10x)/5x
Find the value(s) of k that make the function continuous
Просмотров 9669 месяцев назад
Find the value(s) of k that make the function continuous
Polynomial Long Division Explained Simply
Просмотров 13510 месяцев назад
Polynomial Long Division Explained Simply
Is f(x) continuous at x=3? | Definition of Continuity
Просмотров 1,7 тыс.10 месяцев назад
Is f(x) continuous at x=3? | Definition of Continuity
To clarify, different Sun Tzu from the art of war guy. This one's a mathematician. Also, the theorem was actually formulated by qin jiu shao, as an answer to a question formulated by math Sun Tzu in his book 孙子算经
How can you find general derivative? ex: x^2 ==== 2x
One cute result of Fermat’s little theorem is that in any base b, for a prime p coprime to b, the recurring radix expansion of 1/p will always have a period length that is some factor of (p-1). For instance, in decimal, 1/13 has 6 (a factor of 12) recurring digits, and 1/41 has 5 (a factor of 40) recurring digits. If b is a primitive root modulo p, the period length of 1/p is (p-1) itself, the maximum length by the pigeonhole principle. In that case, 1/p is cyclic. Such is the case for decimal 1/7 (6 recurring digits) and 1/23 (22 recurring digits).
Im have an exam tomorrow u are just from saving me. Thanks a bunch😊
Nice explanation
So helpful, thanks!
I feel deceived because your channel said calculus and here is number theory. Just kidding. Your video and channel are cool and you do a very nice job. Woooo
thank you this really helped!
Can you also use even properties to make the bounds from 0 to 2 and double the integral?
Can we make 4x in form of (2rootx)² and then apply formula of 1/root a²-x² ???
Makes no sense, I'm even more confused now
Can you find the last three Numbers of the number 19^97
ruclips.net/video/AlbGkeaRNU8/видео.html
I still dont know how to get Xi
You failed to explain the MOST important part of finding xi.
The answer should be -1
You seriously helped me in my Calculus today. I was lost on how to do this with the book explanation, but you explained it perfectly.
Thank you, the video format and the step by step explaination is really helpful espically since I missed a lot of the basic fundementals. It really clicked thanks!
<3
thank you !
One of the numbers is x=3a+1=5b+4=7c+6 3a=5b+3,5b=7c+2 So c=4,b=6,a=11 x=3×11+1=34 General value of x=34+LCM(3,5,7)k=34+105k,k is an integer.
Thank you!
what if there are only two linear congruences?
Follow the method Christee described. In her example, there are three linear congruences with index ì being 1,2,3. If only two linear congruence, index ì would be 1,2. The table of columns r, m, x, rmx will have two rows (not three rows). Christee, you description was clear and methodical. Your intention was to describe the process using an example. Good presentation.
The remainder of 17 ^200 ÷ 18 is 1,How
Keep up the stellar work! Your instructions are incredibly lucid and will undoubtedly prove invaluable to all AP students who watch your video. You possess a remarkable talent for distilling complex concepts into clear, comprehensible explanations, ensuring they are fully understood. You have my highest admiration for your exceptional ability to transform all AP students viewing your video into dedicated and serious learners. I eagerly anticipate reviewing your future videos on AP Calculus Free Response questions and am confident they will continue to inspire and educate. Your contributions are truly making a significant difference in the academic journeys of many.
Wow, that means so much to me. I was considering taking a hiatus since I’ve been at this for 3 years and haven’t felt like I’m being much of a help, but your words inspire me. Thank you!
decent lawyer, great mathematician
You're a life saver!! A question like this came out of the blue on my homework and I was really taken off guard! Thank you so much for your help!
So glad to hear it!! That’s great!! ☺️
I think I just threw my chances of getting a perfect score on this question by including absvalue(-3) in distance traveled. I should’nt have done that since I take physics too…
Darn! Right, I bet there is a lot of overlap in Physics and Calc! Especially in the Particle Motion topics!
My teacher said this year's BC FRQ questions were relatively easy and I honestly have to agree.
I said the same thing to my students today! I think they were definitely doable! Hoping for good scores this year 🤞🏼🤞🏼
I wasn't too confident with the simplification of part c, so i ended up leaving the asnwer as H = e^(sin(t/2) + ln I3I) + 1. Would I still get full credit for this or was the simplification necessary?
Yes, you would still get full credit. Nice work! No need to simplify to earn all points.
@@CalculusbyChristee sweet, thanks!
Too ez
How many points would u say part B and C will be worth?🥲I messed up on those ugh
Darn! My best guess is that parts B and C would be either 4 or 5 points out of the 9 total points for this FRQ. 😢 Hopefully the other FRQs went well to make up for it! ☺️
I just recently discover your channel, is really helpfull.
Glad to hear it! ☺️
This was a tough one - great explanations!!! Very clear and easy to follow!
Great! Thank you!!
For 1d.) I believe you have interpreted it wrong. The value of the C'(t) become less and less negative 12<t<20, since C''(t) is greater than zero, this indicates the change in temperature has a decreasing rate of change as the temperature "changes" and flattens out to a particular value.
Since C'(t) is becoming less negative that means the values of C'(t) are increasing toward 0. Increasing rate doesn't necessarily mean larger magnitude it just implies the C' values are becoming less negative.
that's what I put and I hope that's correct
Impressive methodical approach, Christee. You're on a roll! Cheers. 🥰🤓😍
Thanks, Reynaldo!! My goal is 6 questions tonight ☺️☺️ I’m going to keep it going! 🎉
This was great!! Thank you for explaining the answer of -1 vs 0.999. Your tip about verification by hand was very clever and clearly worthwhile!! In my opinion, I am not a fan of the function and time value chosen for this problem. It seems to be more assessing students' numerical analysis skills of approximation errors with a calculator than it does calculus which seems a bit sneaky. But maybe that's just something to add to my list for next year to warn my students about - don't trust your calculator TOO much! Appreciate you taking the time to dive into that one!
-.999 vs -1 was sneaky for sure! Definitely something to talk with students about next year! Thank you! ☺️
You are fast!! Love that you got these up here quickly - THANK YOU for your awesome explanations!!
I always imagine a function of motion in natural logarithm. An exponential function with a negative power looks more feasible like Newton's Law of Cooling or half-life/radioactivity. 😅 Simple yet effective approach, Christee. I wish more students could discover your channel. Cheers! 🥰🤓😍
Yay! Time series problems! Love those kinds of challenges, especially if you can see the illustration of the trend curve. Great content, Christee! (Good morning from my side of the world) 🥰🤓😍
Drawings or sketches of the functions are really essential in visualizing the area or volume being measured or generated. Kudos, Christee! Cheers! 🥰🤓😍
Great, great video!! Your drawings are AMAZING! And I really liked how you explained how we derive the average value formula from the rectangle. Thanks for all of your helpful review videos - they were all amazing!!
Hello ms cristy. You are the prettiest face on the planet .I need u to school me on all primes under 100 every exception every thing I should know about prime numbers please and pretty please. Chico Cisneros
Great tips and reminders!!! Very organized and thorough diff Eq explanations. The slope field insight you gave was especially helpful, including tips for drawing the solution curve. Thank you for all your time and dedication to helping students work toward that 5!! With this set of reminders, hopefully they don't find the exam too "Diff-Eq"ult. 😁
Hehe love that! Thank you so much!! I hope they rock the exam!
Can't believe, we're in Unit 6 already. Thank you for regularly uploading Calculus Lessons ❤
I agree!! :) I can't believe it either! I'll have Unit 7 posting tomorrow and Unit 8 posting on Sunday, and that's all of them! I hope people find them as a great review of the course! 😊
Prepare to be amazed by the excellence of this presentation! Christee's teaching methodology effortlessly simplifies even the most intricate calculus concepts. I strongly urge all AP students to delve into Christee's video library; with her guidance, you'll soar to a guaranteed score of FIVE. Her instructional videos are nothing short of extraordinary, and my praise is sincere. The more students engage with her content, the more likely Christee will continue to produce these invaluable resources. It would be a travesty if Christee were to cease creating these videos due to feeling unappreciated. Losing such a remarkable educational asset would only add unnecessary stress and anxiety to your calculus journey.
Wow, thank you for all of your incredible compliments! You really know how to make me feel encouraged and motivated :) I am not monetized and have never made any money from this, so I appreciate the recognition. You are appreciated, Gerald! I'll keep bringing content to help anyone who needs it :)
Prepare to be amazed by the excellence of this presentation! Christee's teaching methodology effortlessly simplifies even the most intricate calculus concepts. I strongly urge all AP students to delve into Christee's video library; with her guidance, you'll soar to a guaranteed score of FIVE. Her instructional videos are nothing short of extraordinary, and my praise is sincere. The more students engage with her content, the more likely Christee will continue to produce these invaluable resources. It would be a travesty if Christee were to cease creating these videos due to feeling unappreciated. Losing such a remarkable educational asset would only add unnecessary stress and anxiety to your calculus journey.
Wow, thank you for all of your incredible compliments! You really know how to make me feel encouraged and motivated :) I am not monetized and have never made any money from this, so I appreciate the recognition. You are appreciated, Gerald! I'll keep bringing content to help anyone who needs it :)
what about when the power is smaller then the mod?
Christee's video offers an exceptional breakdown of how to approach AP 2021 Calculus Free Response Question 1. Unlike other resources, her explanation stands out for its clarity in understanding unit measurements, which greatly enhances effectiveness. Many tutorials neglect addressing units in their answers, adding unnecessary complexity. I highly recommend Christee's videos; her soothing voice and remarkable knack for simplifying intricate calculus operations are truly captivating. I'm thankful that Christee remains committed to tutoring students on RUclips and extend my personal gratitude to her for generously investing her time to make calculus enjoyable to learn.
Wow, this means so much to me! I appreciate it more than you know. I have been at this for 3 years to try to help explain difficult concepts in a way that is easy to understand. I take a lot of time to prepare and create my videos, and your words mean so much to me. Thank you!!
Amazing summary of these tough units at the end of the course!! Pictures, reminders, examples - you did it all! Calculus students across the world should be so fortunate to have you taking the time to make these amazing reminder videos for the whole course!! Thank you for all of your time and dedication to providing such high quality instructional videos - they are amazing!!! 😊
Thank you so much for the kind words! I truly hope the videos are helpful to them!! 🤞🏼🤞🏼