Question

How do you differentiate `y=-x^2(-3x^2-2)` using the product rule?

Answer 1

`12x^3 +4x`

Explanation:

`y= x^2 (3x^2 +2)`

`dy/dx= x^2 d/dx (3x^2 +2) +(3x^2 +2) d/dx (x^2)`

=`x^2 (6x) +(3x^2 +2) (2x)`

=`12x^3 +4x`