Question

What is the theorem that gives the method for finding the derivative of an inverse function?

Answer 1

we can use the equation f ( f ^-1(x)) = x and take derivative of both sides

Answer 2

use chain rule

Answer 3

f ' ( f^-1(x)) * f^-1 (x) ' = 1 so
f^-1 (x) ' = 1 / ( f ' (f^-1(x))

Answer 4

Thank you so much!

Answer 5

did that make sense?

Answer 6

it would be nice if i could learn to use equation editor, :)

Answer 7

Yes it did, I just was a bit rusty, and needed a little reminder of what was going on.

Answer 8

\[2^{2}\]