Question

Let f(x) = 3x^5+2z+1 find (f^-1)'(-4).

Answer 1

Yea the derivative of inverse functions

Answer 2

Did you intend to have two variables? Both x and z?

Answer 3

sorry that z should be an x\[f(x)=3x^5+2x+1; find (f^-1)'(-4)\]

Answer 4

Have you done any work on this?

Answer 5

Yes, but honestly I forgot how to do the work

Answer 6

Knowing f(x)=y, I switched the position of x and y in the equation and isolated the y's and x's on separate sides. Thence, implicit differentiation yielded the derivative.

Answer 7

Just checking. So you switched x and y. Moved x and y to separate sides of the equal sign, then did implicit differentiation?

Answer 8

Yes. Implicit diff. was necessary since you can't explicitly solve for y. But impl. diff yields a nice derivative.