Question

If dy/dx=2xy, then d^2y=dx^2=

Answer 1

$\bf \cfrac{dy}{dx}=2xy\implies \cfrac{d^2y}{dx^2}=2\stackrel{product~rule}{\left( 1\cdot y+x\cfrac{dy}{dx} \right)}\implies \cfrac{d^2y}{dx^2}=2y+2x\cfrac{dy}{dx}$