Question

I need a step by step explanation on how to work this problem

Answer 1

Product rule

d/dx(uv) = u'v+uv'

for the first term, u= x^2 v=y
$\frac{d}{dx} x^2y= (\frac{d}{dx} x^2) y+x^2 \frac{d}{dx}y = 2xy+x^2\frac{dy}{dx}$