Words cannot describe how amazing this video is. This lady is really the best at explaining 2.1 and breaking it down. I’m studying for an exam that is tomorrow, and this is a HUGE help. Thank you so much!🙏
Thank you so much!! I had my first lecture today and had no idea what the teacher was going over, couldn't even come up with a question to ask because it was so confusing. Came over to this video and found out you went over the exact examples in such a great away! So thankful🙏🏼You are saving lives here haha
I'm SO happy that I've been able to help out!!! I hope that you can continue to find helpful videos on my channel... and if you have a question on a video, please leave a comment & I'll do my best to help out. Wishing you lots of luck in your course!!
@@StaceyRoshan 😭 OMG thank u so much! This is my second time taking this class, and I’m so lucky I found your channel! This has helped so many people and will continue to help many more in the future!🙏🙏
I'm so, so happy that you've found my videos and that they are helping you! I hope that you can continue to find helpful resources on my channel. That extra time that you're putting in will pay off! Wishing you a lot of luck in your class.
@@StaceyRoshan Is there a way to reach you. I am stuck on a problem of chapter 2.2. I feel confident on limits but there is a question asking about interval notation and I don't know what to do.
Eric Chu best comment!!! Making AP Calculus simple is my ultimate goal :) Of course, it won’t feel that way each step of the way, but when you’re given enough information, you should always be able to understand *why* things are the way they are... and then it can all make sense. Have a great year!
Thanks for this! I am using your videos to review for my upcoming exam and I didn't want to go over my teacher's lectures that are usually 45 minutes long for 9 sections
...Good day to you Miss Stacey, Like snow in the sun, in less than 12 minutes, the existing Tangent and Velocity problems have disappeared after studying this presentation (lol). Very clear and straightforward to follow. The transition area between Algebra and Calculus always remains fascinating to me, through the 'brief' introduction of the somewhat mystical concept of " Limit ". Math in the next gear! Thank you for this to the point presentation... Take care, Jan-W p.s. It is also striking to me that with only algebraic knowledge, many problems can still be solved (approximately)...
Your comment also speaks to the importance of a sound foundation! I think my 8 year old niece said it best to me when she recently told me: "I use easy math to get hard math done."
Thanks for the video! I am using the same Stewart's Early Transcendentals textbook for my course and was wondering for the solution at 4:29, the textbook has the answer "y=2x-1" while the answer you gave was "y=2(x-1)+1". Is this a mistake with the answer key in the textbook? Thanks in advance.
Amazing video, thank you! Also, please could you explain the concept of “average velocity over an interval” and “instantaneous velocity at time t”. still a bit confused by that. thank you.
k n glad this helped! Average velocity is just good old slope :) To find average velocity you use the position function and find the slope between the two points given. To find instantaneous velocity, we are looking at the derivative at that point. Have you learned derivatives yet?
So glad this helped, Diego! I hope that you can continue to find helpful videos on this channel. And also that things in your class start looking up soon :)
Hi Stacey, thankfully, you provided me with your power school website and I love it. Thank you very much! Is there a way to access the power points for the lessons? I tried to view the power point but I could not access it. ThanK You!
Hi Susan - I'm sorry but the PPTs are not publicly available. I'm glad you've been able to use the resources on my PowerSchool website along with these videos :)
The videos I share will be in a different order than presented in what your book (I’m using the Concepts & Contexts text, which only goes up to the 4th edition), but just so you can find what you’re learning about, Calculus is Calculus 😊 Wishing you all the best in your course!
Don't worry, let me try to break it down through text :) So you see the table at 3:42? Those list the slope (m) between the x value in the chart and 1. So the first thing you see there: x=2, m=3... that means that the slope between x=1 and x=2 is 3. So now, at 3:50, it's asking the limit as x approaches 1 of that slope. So look back at the table. You want to look for an x value in that chart REALLY close to 1... from the left (a little smaller than 1, look at 0.999 --> m=2.001) and from the right (a little bigger than 1, look at 1.001 --> m=1.999). So, we can say the limit as x approaches 1 of that slope = 2.
Stacey Roshan Thank you so much! ❤️ I really truly appreciate it! Our teacher recommended your video. It is very helpful and so are you! Thank you again. ☺️
It is based on gravity, a(t) = 9.8 m/s^2. At this point in the course, it is something I would tell my students in the problem. When we get into integration, then it will make sense how to derive that.
@@Motoplugg If you are dealing in meters and seconds, you use 4.9 for velocity based on the fact that gravity = 9.8m/s/s. If you're dealing in feet and seconds, then you use 16 for velocity based on the fact that gravity = 32ft/s/s. In the integration unit (chapter 5), we dig into why those relationships hold.
It comes from the fact that gravity = 9.8 m/sec^2. You will learn more about how to derive these equations when you get into integrals later in the year. For now, your teacher would provide that information.
It comes from the fact that gravity = 9.8 m/sec^2. You will learn more about how to derive these equations when you get into integrals later in the year. For now, your teacher would provide that information.
Great video... but the only problem is you never say *why* we need to find the equation of the tangent line...what does finding out the equation do for us?
Ghost World thanks! There are a variety of applications. This video is just a quick introduction to the concept. When we get into chapter 3 and learn more formally about the derivative, we see a lot more practical examples, ie: to approximate velocity at a specific time when we are only given data about position at specific times.
Thanks for the kind comment! Hope you can continue finding helpful content on my RUclips channel & feel free to ask any follow-up questions in the comments.
This video explained in 11 minutes what my teacher could not explain in 1 hour. Thanks :)
Jaidan Craig so glad this helped! Hope that you have a great year!
Words cannot describe how amazing this video is. This lady is really the best at explaining 2.1 and breaking it down. I’m studying for an exam that is tomorrow, and this is a HUGE help. Thank you so much!🙏
Thank you for such a kind comment! I'm so glad you found my video and that it was helpful in your studying. GOOD LUCK on your exam!!
I'm a math tutor and a PhD candidate and my only hope of catching up on math has been on your math resources. Thank you a million times.
I'm so glad to be able to help!!
Thank you so much!! I had my first lecture today and had no idea what the teacher was going over, couldn't even come up with a question to ask because it was so confusing. Came over to this video and found out you went over the exact examples in such a great away! So thankful🙏🏼You are saving lives here haha
I'm SO happy that I've been able to help out!!! I hope that you can continue to find helpful videos on my channel... and if you have a question on a video, please leave a comment & I'll do my best to help out. Wishing you lots of luck in your course!!
@@StaceyRoshan 😭 OMG thank u so much! This is my second time taking this class, and I’m so lucky I found your channel! This has helped so many people and will continue to help many more in the future!🙏🙏
Our professor can't speak a word of English. You are truly a gift from God! Thank you so much for being a beacon of light during this time.
I'm so, so happy that you've found my videos and that they are helping you! I hope that you can continue to find helpful resources on my channel. That extra time that you're putting in will pay off! Wishing you a lot of luck in your class.
@@StaceyRoshan Is there a way to reach you. I am stuck on a problem of chapter 2.2. I feel confident on limits but there is a question asking about interval notation and I don't know what to do.
@@maliherezazadegan4996 You should be able to find my email on the about tab of my channel!
I'm taking Calculus online and I'm hving to teach myself everything so this is very helpful. Thank you :)
That's a lot! I am happy that you found my videos & I hope that they continue to help!! Good luck in your course.
@@StaceyRoshan thank you! can i ask you a question?
@@isaaccmp4 Sure thing!
@@StaceyRoshan Do you drive a Nissan?
@@isaaccmp4 Nope, never have
Stacey... The "VARS -> Y-VARS -> Function" saved me so much time!
Sometimes it’s the little things!
MADE SO SIMPLE! thank you, you literally saved my life!!!!!!
Eric Chu best comment!!! Making AP Calculus simple is my ultimate goal :) Of course, it won’t feel that way each step of the way, but when you’re given enough information, you should always be able to understand *why* things are the way they are... and then it can all make sense. Have a great year!
thank you!
Thanks for this! I am using your videos to review for my upcoming exam and I didn't want to go over my teacher's lectures that are usually 45 minutes long for 9 sections
I’m so glad this helped! I hope that you have a great year in Calculus :)
2nd - INS . Never knew that and would always clear everything, thank you!!!!
I like this video. It is helpful for me for the class I am currently taking as of when this comment was posted.
I'm so happy to hear that, Dan! I hope your course is going well.
...Good day to you Miss Stacey, Like snow in the sun, in less than 12 minutes, the existing Tangent and Velocity problems have disappeared after studying this presentation (lol). Very clear and straightforward to follow. The transition area between Algebra and Calculus always remains fascinating to me, through the 'brief' introduction of the somewhat mystical concept of " Limit ". Math in the next gear! Thank you for this to the point presentation... Take care, Jan-W p.s. It is also striking to me that with only algebraic knowledge, many problems can still be solved (approximately)...
Your comment also speaks to the importance of a sound foundation! I think my 8 year old niece said it best to me when she recently told me: "I use easy math to get hard math done."
@@StaceyRoshan ...Miss Stacey, Your 8-year-old niece who already shows so much insight can only look forward to a promising future... Jan-W
Thanks for the video! I am using the same Stewart's Early Transcendentals textbook for my course and was wondering for the solution at 4:29, the textbook has the answer "y=2x-1" while the answer you gave was "y=2(x-1)+1". Is this a mistake with the answer key in the textbook? Thanks in advance.
I'm glad these videos can help! Those answers are equivalent (y = 2(x-1)+1 = 2x-2+1 = 2x -1). It doesn't matter which form you write it in.
Amazing video, thank you! Also, please could you explain the concept of “average velocity over an interval” and “instantaneous velocity at time t”. still a bit confused by that. thank you.
k n glad this helped! Average velocity is just good old slope :) To find average velocity you use the position function and find the slope between the two points given. To find instantaneous velocity, we are looking at the derivative at that point. Have you learned derivatives yet?
Subbed because you're great at teaching!
This means so much!!! Thank you
I'm watching this 6hrs from my mid-term exams.
Wishing you luck on those exams!!
@@StaceyRoshan I will get 22 out of 30 thank you you're such a great teacher
Not allowed to use that calculator! Can you show without the use of calculators please
just plug it in manually
@@ericchu6503 no thanks
Oh were still using the equation from example 1 y=x^2 why use the same equation?
Thanks so much, you have no idea i have horrible teacher and this helped so much
So glad this helped, Diego! I hope that you can continue to find helpful videos on this channel. And also that things in your class start looking up soon :)
thank you so much, was so hard learnin this in class!
so glad to be able to help!
Hi Stacey,
thankfully, you provided me with your power school website and I love it. Thank you very much! Is there a way to access the power points for the lessons? I tried to view the power point but I could not access it.
ThanK You!
Hi Susan - I'm sorry but the PPTs are not publicly available. I'm glad you've been able to use the resources on my PowerSchool website along with these videos :)
@@StaceyRoshan thank you very much for your reply
This video helps me a lot. Thanks!!!
Glad this helped!
What edition of Stewart's book are you using for these videos?
The 4th edition
Beautiful, Thank You!
+Love Engineered you're very welcome!
Hi , my school studying 9th edition of stewarts books and i guess you are teaching the 4th edition does it matter if I study from it for exams ?
The videos I share will be in a different order than presented in what your book (I’m using the Concepts & Contexts text, which only goes up to the 4th edition), but just so you can find what you’re learning about, Calculus is Calculus 😊 Wishing you all the best in your course!
Hello do you have chapter 1 in Calculus 1?
I'm sorry, I do not have Chapter 1 covered...
Thank you so much!! My professor is confusing and I couldn't understand from just the book :)
You're super welcome! Glad to be able to help :)
You're a life saver! Thank you so much
So glad this video helped you!!
Hello, I am stuck. How did you get 2 for "m"? Thank you (it's probably something so simple, but my mind is not working right now).
Don't worry, let me try to break it down through text :) So you see the table at 3:42? Those list the slope (m) between the x value in the chart and 1. So the first thing you see there: x=2, m=3... that means that the slope between x=1 and x=2 is 3.
So now, at 3:50, it's asking the limit as x approaches 1 of that slope. So look back at the table. You want to look for an x value in that chart REALLY close to 1... from the left (a little smaller than 1, look at 0.999 --> m=2.001) and from the right (a little bigger than 1, look at 1.001 --> m=1.999). So, we can say the limit as x approaches 1 of that slope = 2.
Stacey Roshan Thank you so much! ❤️ I really truly appreciate it! Our teacher recommended your video. It is very helpful and so are you! Thank you again. ☺️
Hello Stacey;
Could you explain me a little bit please how did you get the 4.9?
It is based on gravity, a(t) = 9.8 m/s^2. At this point in the course, it is something I would tell my students in the problem. When we get into integration, then it will make sense how to derive that.
@@StaceyRoshan Do you use 4.9 in every velocity problem or just this one specifically? how do you know when and when not to use 4.9?
@@Motoplugg If you are dealing in meters and seconds, you use 4.9 for velocity based on the fact that gravity = 9.8m/s/s. If you're dealing in feet and seconds, then you use 16 for velocity based on the fact that gravity = 32ft/s/s. In the integration unit (chapter 5), we dig into why those relationships hold.
Thank you very much for such helpful content :)
You're very welcome! Hopefully these videos continue to be helpful for you :)
Where did you get 4.9
It comes from the fact that gravity = 9.8 m/sec^2. You will learn more about how to derive these equations when you get into integrals later in the year. For now, your teacher would provide that information.
I still dont know were you got 4.9 ....?
It comes from the fact that gravity = 9.8 m/sec^2. You will learn more about how to derive these equations when you get into integrals later in the year. For now, your teacher would provide that information.
Nice explanation
Thank you! Glad this helped :)
I'm shouldve done AP Cal 1 in hs because TI-85 are strictly banned in Cal classes.
Great video... but the only problem is you never say *why* we need to find the equation of the tangent line...what does finding out the equation do for us?
Ghost World thanks! There are a variety of applications. This video is just a quick introduction to the concept. When we get into chapter 3 and learn more formally about the derivative, we see a lot more practical examples, ie: to approximate velocity at a specific time when we are only given data about position at specific times.
I don’t get it
Which example? I'll do my best to try to help break it down some more!
Omg thank you so much
So glad you found this helpful!! Good luck in your class :)
I wish she was my teacher
Thanks for the kind comment! Hope you can continue finding helpful content on my RUclips channel & feel free to ask any follow-up questions in the comments.
نفس هذا الشرح ماكو عربي
Yo my prof is trash