Calculus Examples

$\sqrt{e} \cdot x$

Step 1

Since $\sqrt{e}$ is constant with respect to $x$ , the derivative of $\sqrt{e} x$ with respect to $x$ is $\sqrt{e} \frac{d}{d x} [x]$ .

$\sqrt{e} \frac{d}{d x} [x]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 1$ .

$\sqrt{e} \cdot 1$

Step 3

Multiply $\sqrt{e}$ by $1$ .

$\sqrt{e}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{e}$

Decimal Form:

$1.64872127 \dots$