Calculus Examples

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

Step 1

Replace the variable $x$ with $16$ in the expression.

$f (16) = 4 \sqrt{16} - 2 \cdot 16$

Step 2

Simplify the result.

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Step 2.1

Remove parentheses.

$f (16) = 4 \sqrt{16} - 2 \cdot 16$

Step 2.2

Simplify each term.

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Step 2.2.1

Rewrite $16$ as $4^{2}$ .

$f (16) = 4 \sqrt{4^{2}} - 2 \cdot 16$

Step 2.2.2

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

$f (16) = 4 \cdot 4 - 2 \cdot 16$

Step 2.2.3

Multiply $4$ by $4$ .

$f (16) = 16 - 2 \cdot 16$

Step 2.2.4

Multiply $- 2$ by $16$ .

$f (16) = 16 - 32$

Step 2.3

Subtract $32$ from $16$ .

$f (16) = - 16$

Step 2.4

The final answer is $- 16$ .

$- 16$

Step 3