Question

If g is the inverse of a function f and f'(x)=1/(1+x^5), then g'(x)=?
A)1/(1+{g(x)}^5)
B)1+{g(x)}^5
C)1+x^5
D)5x^4

Answer 1

do you know if m and n are inverse functions then
\[m'(x)=\frac{1}{n'(m(x))}\]

Answer 2

Yes

Answer 3

well that is what I would use

Answer 4

Where you use it?

Answer 5

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

Answer 6

this is just a pluggin kind of problem
you don't even have to find the derivative

Answer 7

or I mean you don't have to differentiate

Answer 8

you do have to find g'(x) but not differentiating needed

Answer 9

*