Calculus Examples

$\sqrt{e^{16}}$

Step 1

Rewrite $e^{16}$ as ${(e^{8})}^{2}$ .

$\frac{d}{d x} [\sqrt{{(e^{8})}^{2}}]$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{d}{d x} [e^{8}]$

Step 3

Since $e^{8}$ is constant with respect to $x$ , the derivative of $e^{8}$ with respect to $x$ is $0$ .

$0$