# How do you find the derivative of (x^2+x)^2?

May 25, 2018

#### Answer:

$f ' \left(x\right) = 2 \left(2 {x}^{3} + 3 {x}^{2} + x\right)$

#### Explanation:

Using that $\left({x}^{n}\right) ' = n {x}^{n - 1}$ (Power Rule) and the Chain rule , then we get

$f ' \left(x\right) = 2 \left({x}^{2} + x\right) \left(2 x + 1\right)$