Calculus. Differentiate.?

Question

y= sinx/x^2

Answer 1

The function y = sinx/x²

Differentiating on each side with respect to x.

Apply quotient rule in derivatives d/dx(u/v) = [vu' - uv']/v²

u = sinx, v = x²

u' = cosx, v' = 2x

y' = [(x²)(cosx) - (sinx)(2x)]/(x²)²

y' = (x²cosx - 2x sinx)/x⁴

y' = x(x cosx - 2 sinx)/x⁴

y' = (x cosx - 2 sinx)/x³.