Differentiate `x^2(1+x)(2-x)`

Explanation

`y=x^2(1+x)(2-x)`
`dy/dx=2x(1+x)(2-x)+x^2(2-x)+x^2(1+x)(-1)`
`[therefore/dx(uvw)=(du)/dx cdot v cdot w+u(dv)/dx cdotw+u cdotv(dw)/dx`
`4x+2x^2-2x^3-2x^2-x^3-x^2-x^3`
`=4x+3x^2-4x^3`