Question

How do find the derivative of `F(x) = (x^2) (sin(3x))`?

Answer 1

`d/dx(x^2sin(3x))=3x^2cos3x+2xsin3x`

Explanation:

The product rule states that the derivative of a product of 2 functions is the first function times the derivative of the second plus the second function times the derivative of the first.

`therefore d/dx(x^2sin(3x))=3x^2cos3x+2xsin3x`