abjorkma
Can anyone help with problem 2 on Webwork 10? The question is:
(f^{-1})'(x)= 1/(f'(f^{-1}(x)) find
(f^{-1})'(-4) if f(2)=-4 and f'(2)=2/11
An archived instance of a Calc I forum
Problem 2 Webwork 10
mark
Well, remember that the formula
(f^{-1})'(x)=\frac{1}{f'(f^{-1}(x))}
expresses the fact that there is a reciprocal relationship between the derivative of a function and the derivative of its inverse.
Now, I really only see one derivative value floating around in the statement of your problem, so it might be reasonable to guess that the answer should be the reciprocal of that???