Question

Need help with an inverse function:

Answer 1

Let k(x) = (f(x))^−1.
what is k'(2)?

Answer 2

I had the answer as -.12, but I dont remember how I got it.

Answer 3

is it f(x) to the power -1

Answer 4

\[(f(x))^-1\] like this

Answer 5

so yeah, (f(x)) to the power of -1

Answer 6

ok

Answer 7

what's that apostrophe on k(2) is it the differentiation.

Answer 8

yes

Answer 9

are you sure, you got the right answer.

Answer 10

Yeah, it marked it as correct for me

Answer 11

See, from the information given you can not find f(x). Now, if that you can't do. You can not find the k(x). And, if it's not possible to find k(x) how can you find differentiation of k(x).

Answer 12

@baru any idea?

Answer 13

from the information we only know that f(2) =5
and that if it is f(x) to the power -1
=>
k(2) = (5)^-1.

Answer 14

I found it out, we take the derivative of both sides.

so k'(x) = -f(x)^(-2) * (f'(x))