Given that has a stationary point when

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

Problem

Given that

y=kx^4-2x^3+7kx^2-4x+k

has a stationary point when

x=2

, determine the value of

\frac{d^2y}{dx^2}

at this point. Give your answer as an improper fraction in its simplest form.