Question

Differentiation of x sin x^2

Answer 1

★Heya★

y = x Sin x²

DIFFERENTIATE BOTH SIDE'S W.R.T x

dy/dx = Sin x² + x Cos x² × 2x

dy/dx = Sin x² + 2x² Cos x²

Answer 2

d(xsinx²)/dx=

x.d(sinx²)/dx+sinx².dx/dx

x.2x.cosx²+sinx²

2x²cosx²+sinx²