+ Download my FREE calculus 1 study guide - jakesmathlessons.com/Calculus1Course/study-guide-sign-up/ + My Complete Calculus 1 Package - jakesmathlessons.com/complete-calculus-1-package/ + Get my calculus 2 study guide - jakesmathlessons.com/calculus-2-study-guide-integral-calculus-cheat-sheet/ Chapters 0:00 Introduction 1:12 Check out my calculus study guide 1:26 Start to solve the problem 3:00 finding f'(a) 10:38 solve for f'(a) 11:28 finding the slope 11:43 hope you found the video helpful
That’s not a bad idea, and you definitely can use that here. The only problem is, it doesn’t make a lot of sense for two reasons. 1. L’Hospital’s Rule uses derivatives to find limits and is typically learned after you have an understanding of how to find derivatives with limits. If you already know how to take the derivative using other tricks, that’s easier than doing it using the limit definition so it defeats the whole purpose of solving it using the limit definition. 2. Think about what you would end up with if you applied L’Hospital’s tule and took the derivative of the top and bottom of this fraction. You would effectively just end up with the derivative of 1/sqrt(x), which is exactly what we’re trying to figure out how to take the derivative of anyway. It just sends you in a circle.
@@JakesMathLessons i understand jake...tq...u mean u want us to understand the sequence of concepts that should learned by us first...i agree with u ...i think it can be solved by L hopital rule if the question do not mention any methods of solving
@@muhdharezal6336 exactly. You usually won’t use the definition of a derivative to find the derivative of a function unless the problem tells you too. For most functions there are much easier methods to use. Things like power rule, product rule, chain rule, etc. are going to be the better way to find a derivative if you can depending on the problem.
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+ Download my FREE calculus 1 study guide - jakesmathlessons.com/Calculus1Course/study-guide-sign-up/
+ My Complete Calculus 1 Package - jakesmathlessons.com/complete-calculus-1-package/
+ Get my calculus 2 study guide - jakesmathlessons.com/calculus-2-study-guide-integral-calculus-cheat-sheet/
Chapters
0:00 Introduction
1:12 Check out my calculus study guide
1:26 Start to solve the problem
3:00 finding f'(a)
10:38 solve for f'(a)
11:28 finding the slope
11:43 hope you found the video helpful
Good video...
Jake...what if i solve this by using L hopital rule
That’s not a bad idea, and you definitely can use that here. The only problem is, it doesn’t make a lot of sense for two reasons.
1. L’Hospital’s Rule uses derivatives to find limits and is typically learned after you have an understanding of how to find derivatives with limits. If you already know how to take the derivative using other tricks, that’s easier than doing it using the limit definition so it defeats the whole purpose of solving it using the limit definition.
2. Think about what you would end up with if you applied L’Hospital’s tule and took the derivative of the top and bottom of this fraction. You would effectively just end up with the derivative of 1/sqrt(x), which is exactly what we’re trying to figure out how to take the derivative of anyway. It just sends you in a circle.
@@JakesMathLessons i understand jake...tq...u mean u want us to understand the sequence of concepts that should learned by us first...i agree with u ...i think it can be solved by L hopital rule if the question do not mention any methods of solving
@@muhdharezal6336 exactly. You usually won’t use the definition of a derivative to find the derivative of a function unless the problem tells you too. For most functions there are much easier methods to use. Things like power rule, product rule, chain rule, etc. are going to be the better way to find a derivative if you can depending on the problem.
Thanks jake for sharing ur opinions and understanding...great mathematics teacher
@@muhdharezal6336 thank you!