Question

How do you differentiate `g(y) =x(x^2 + 6)` using the product rule?

Answer 1

`dy/dx=3x^2+6`

Explanation:

Given -

`y=x(x^2+6)`
`dy/dx=[x(2x)+(x^2+6)(1)]`
`dy/dx=2x^2+x^2+6`
`dy/dx=3x^2+6`