Calculus I: Derivative of inverse functions

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In this video, we talk about how to take the derivative of inverse functions. You can't always take the inverse of a function and solve for y so we discuss a simple formula to get the derivative of an inverse + some examples.

00:00 - Introduction
00:09 - Deriving the formula for the derivative of an inverse function
03:40 - Example 1
12:25 - Example 2
20:31 - Example 3

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sir, you have made my day I have written all the lecture word by word so not to lose the information, thanks alot.

daviddavid

You are doing an awesome work please keep it up .
And be motivated.

ASSA-dyho

i really enjoyed your exercises. many tutorials on this topic only teach how to juggle, iykwim. yours really tests if i understand the concept.
i especially enjoyed having a post-obvious realization while doing your first exercise that i do not need to find an inverse function at all, i can just guess which argument fed to the normal function will give me the argument i would like to solve the inverse function for. very cool. :)

michalbotor

At 23:56 we have an equation to be solved for the derivative of the inverse function. It appears that everything after the inverse F' is a calculation of the argument for that inverse derivative function. If thats correct (and this is where I may misunderstand how you solved this), how can we simply divide the final product, the argument, to give us the derivative value of 1/6 when that final argument is 30 & multiplication of an argument of a function, including the derivative function, by a scalar changes the horizontal scale of the function, not its y values when corrected for the scaling.

dank

Audio excellent you are really helpful buy visually, I’m disapoinyed

ranblake

forget what i just said. I LOVE U SO MUCH

MaalikFaun

Great content! But you should consider changing the color scheme. Blue in black background is barely visible.

danv

For question 2, is G’(2)= -1? U didn’t answer the question fully.

bernardocarlo

Will at some point questions get trickier than q2?

jesussaquin

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