Calculus Examples

$f (x) = 480 \sqrt{2 (16) + 4}$

Step 1

Simplify the expression.

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Step 1.1

Multiply $2$ by $16$ .

$\frac{d}{d x} [480 \sqrt{32 + 4}]$

Step 1.2

Add $32$ and $4$ .

$\frac{d}{d x} [480 \sqrt{36}]$

Step 1.3

Rewrite $36$ as $6^{2}$ .

$\frac{d}{d x} [480 \sqrt{6^{2}}]$

Step 1.4

Multiply.

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Step 1.4.1

Pull terms out from under the radical, assuming positive real numbers.

$\frac{d}{d x} [480 \cdot 6]$

Step 1.4.2

Multiply $480$ by $6$ .

$\frac{d}{d x} [2880]$

Step 2

Since $2880$ is constant with respect to $x$ , the derivative of $2880$ with respect to $x$ is $0$ .

$0$