if f(a) = b then g'(b) = 1/f'(a)
Now just plug in your numbers
Given that g is the inverse function of f, and f (3) = 4 , and f ′(3) =5 , then g′(4) =
-1/5
-3/5
3/5
3 answers
Okay so it is 1/4
Huh? Take a look at what I wrote!
f'(3) = 5
f(3) = 4
so, g'(4) = 1/f'(3) = 1/5
f'(3) = 5
f(3) = 4
so, g'(4) = 1/f'(3) = 1/5