Question

Let g(x) be the inverse of f(x)=x^3+5x+6. Calculate g(12) [without finding a formula for g(x)] and then calculate g′(12).

I already found g(12) = 1. I can't find g'(12). Thanks in advance!

Answer 1

\[g'(12)=\frac{1}{f'(g(12))}\]

Answer 2

since you know
\[g'(12)=1\] find
\[f'(x), f'(1),\frac{1}{f'(1)}\] do get your answer

Answer 3

*to

Answer 4

Yep, thank you