Calculus Examples

$f (x) = 35 x^{4}$ , $F x = a x^{6}$

Step 1

Since $35$ is constant with respect to $x$ , the derivative of $35 x^{4}$ with respect to $x$ is $35 \frac{d}{d x} [x^{4}]$ .

$35 \frac{d}{d x} [x^{4}]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 4$ .

$35 (4 x^{3})$

Step 3

Multiply $4$ by $35$ .

$140 x^{3}$