Calculus Examples

$f (x) = 3 x^{2} \cos (3)$

Step 1

Evaluate $\cos (3)$ .

$\frac{d}{d x} [3 x^{2} \cdot 0.99862953]$

Step 2

Multiply $0.99862953$ by $3$ .

$\frac{d}{d x} [2.9958886 x^{2}]$

Step 3

Since $2.9958886$ is constant with respect to $x$ , the derivative of $2.9958886 x^{2}$ with respect to $x$ is $2.9958886 \frac{d}{d x} [x^{2}]$ .

$2.9958886 \frac{d}{d x} [x^{2}]$

Step 4

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 2$ .

$2.9958886 (2 x)$

Step 5

Multiply $2$ by $2.9958886$ .

$5.9917772 x$