# How do you find the derivative of x^2+1?

May 28, 2015

Simply using the power rule $\left({x}^{a}\right) ' = a {x}^{a - 1}$:
$\left({x}^{2} - 1\right) ' = \left({x}^{2}\right) ' + 1 ' = 2 x + 0 = 2 x$

Apr 1, 2018

$2 x$

#### Explanation:

Using the power rule:

$f \left(x\right) = {x}^{n} \to f ' \left(x\right) = n \times {x}^{n - 1}$

$\frac{d}{\mathrm{dx}} \left({x}^{2} + 1\right)$

$\to 2 {x}^{1}$

$\to 2 x$

Anything without an $x$ will always give an answer of $0$