Mathematics

Problem

For

-1\le x\le 1

, consider the function

h(x)=x^{2}\arcsin(x).

Work through the parts below. (a) Find

h'(x)

and express your answer in its simplest algebraic form. (b) Determine

h'\!\left(\dfrac{1}{2}\right)

and write the exact value as a single simplified fraction (no decimals).