Mathematics

Problem

Let

f(x)=x^{3}g(x)

, where

g

is differentiable. Given that

g(2)=5

and

f'(2)=50

, what is the value of

g'(2)

? a)

-\dfrac{5}{6}

-\dfrac{5}{4}

\dfrac{5}{4}

\dfrac{5}{8}