Calculus Examples

$f (1) = \sqrt[3]{- 80 x^{3} + 144}$

Step 1

Replace the variable $x$ with $1$ in the expression.

$f (1) = \sqrt[3]{- 80 {(1)}^{3} + 144}$

Step 2

Simplify the result.

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Step 2.1

One to any power is one.

$f (1) = \sqrt[3]{- 80 \cdot 1 + 144}$

Step 2.2

Multiply $- 80$ by $1$ .

$f (1) = \sqrt[3]{- 80 + 144}$

Step 2.3

Add $- 80$ and $144$ .

$f (1) = \sqrt[3]{64}$

Step 2.4

Rewrite $64$ as $4^{3}$ .

$f (1) = \sqrt[3]{4^{3}}$

Step 2.5

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

$f (1) = 4$

Step 2.6

The final answer is $4$ .

$4$

Step 3