# How do you find the derivative of Y= x^2 ( x + 1 )^3?

Y=${x}^{2} {\left(x + 1\right)}^{3}$
$\frac{\mathrm{dy}}{\mathrm{dx}}$ = ${x}^{2} \left(3\right) {\left(x + 1\right)}^{2} \left(1\right) + {\left(x + 1\right)}^{3} \left(2 x\right)$
$\frac{\mathrm{dy}}{\mathrm{dx}}$ = $3 {x}^{2} {\left(x + 1\right)}^{2} + {\left(x + 1\right)}^{3} \left(2 x\right)$