Let (f(x)=x^ 3 g(x) )

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

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}

(b)

-\dfrac{5}{4}

(c)

\dfrac{5}{4}

(d)

\dfrac{5}{8}

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