# How do you find the derivative of e^(2x)(x^2+5)?

$f ' \left(x\right) = 2 \left({x}^{2} + x + 5\right) {e}^{2 x}$

#### Explanation:

Differentiating given function w.r.t. $x$ as follows

$\setminus \frac{d}{\mathrm{dx}} {e}^{2 x} \left({x}^{2} + 5\right)$

$= {e}^{2 x} \setminus \frac{d}{\mathrm{dx}} \left({x}^{2} + 5\right) + \left({x}^{2} + 5\right) \setminus \frac{d}{\mathrm{dx}} {e}^{2 x}$

$= {e}^{2 x} \left(2 x\right) + \left({x}^{2} + 5\right) \left(2 {e}^{2 x}\right)$

$= 2 \left({x}^{2} + x + 5\right) {e}^{2 x}$