Consider the function

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

f(x) = \frac{4x^3}{3} - 16x

, where

x \in \mathbb{R}

. The graph of

y = f(x)

has a local minimum point at

(p, q)

where

p > 0

. Find the value of

p

and the value of

q