calculus help asap!!

Question

given that f(3)=2, f'(3)=9, h(x)=1/f(x), find h'(3)

Answer 1

Given the following information...

f(3)=2

f'(3)=9

And given h(x) = 1/f(x). we want to find h'(3)

We know that the derivative of the reciprocal function can be represented as...

h'(x) = ∂/∂x (f(x)^-1) = -1 * f(x)^-2 * f'(x)

h'(3) = -1 * (1/2)² * 9 = -9/4