Question

Derivative of the Inverse of a Function: Let f(2)=6, f'(2)4, and h be the inverse of f. Find h'(6).

Answer 1

\[(f^{-1})'(x)=\frac{1}{f'(f^{-1}(x))}\]

Answer 2

and so
\[(f^{-1})'(6)=\frac{1}{f'(f^{-1}(6))}\] you have all the numbers you need to compute

Answer 3

@satellite73 help please?

Answer 4

This is the last question.

Answer 5

Is the answer -1d+d^2?

Answer 6

clear or no?
\(f(2)=6\) so \(f^{-1}(6)=2\) and \(f'(2)=4\) you get \(\frac{1}{4}\)

Answer 7

hold on dear, let me go back and see

Answer 8

Okay

Answer 9

How do you know that \[f^-1 (6)= 2\]

Answer 10

you know it because you are told that \(f(2)=6\) so necessarily \(f^{-1}(6)=2\) right?

Answer 11

ohhh!!! okay!