Calculus Examples

$f (x) = \ln (e^{4 \cdot 8})$

Step 1

Use logarithm rules to move $4 \cdot 8$ out of the exponent.

$\frac{d}{d x} [4 \cdot 8 \ln (e)]$

Step 2

Multiply $4$ by $8$ .

$\frac{d}{d x} [32 \ln (e)]$

Step 3

The natural logarithm of $e$ is $1$ .

$\frac{d}{d x} [32 \cdot 1]$

Step 4

Multiply $32$ by $1$ .

$\frac{d}{d x} [32]$

Step 5

Since $32$ is constant with respect to $x$ , the derivative of $32$ with respect to $x$ is $0$ .

$0$