For , answer the…

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

For

y=x^{2}\sin x

, answer the following: (i) Compute

\dfrac{dy}{dx}

. (ii) Using the result of part (i), find

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

and simplify. (iii) Determine all

x\in(0,\pi)

for which

\dfrac{d^{2}y}{dx^{2}}=0

. Give reasons for your answer.