if g(x)=1/f(x), what is the value of g'(2)

[mattrickman]

f(x) is a continuous and differentiable function. The table below gives the value of f(x) and f '(x) at several values.

x: 1 2 3 4
fx: -3 -6 9 0
f'x: -5 -2 3 16

if g(x)=1/f(x), what is the value of g'(2)

 

[pka]

f(x) is a continuous and differentiable function. The table below gives the value of f(x) and f '(x) at several values.
x: 1 2 3 4
fx: -3 -6 9 0
f'x: -5 -2 3 16
if g(x)=1/f(x), what is the value of g'(2)

Well \(\displaystyle g'(x) = \dfrac{{ - f'(x)}}{{{{\left[ {f(x)} \right]}^2}}}\).