Calculus Examples

$y = 8 e^{\ln (x)}$

Step 1

Exponentiation and log are inverse functions.

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

Step 2

Since $8$ is constant with respect to $x$ , the derivative of $8 x$ with respect to $x$ is $8 \frac{d}{d x} [x]$ .

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

Step 3

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

$8 \cdot 1$

Step 4

Multiply $8$ by $1$ .

$8$