Calculus Examples

$f (x) = 2 x^{2} + 2$ , $f (2)$

Step 1

Replace the variable $x$ with $2$ in the expression.

$f (2) = 2 {(2)}^{2} + 2$

Step 2

Simplify $2 {(2)}^{2} + 2$ .

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Step 2.1

Remove parentheses.

$2 {(2)}^{2} + 2$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

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Step 2.2.1.1

Multiply $2$ by ${(2)}^{2}$ .

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Step 2.2.1.1.1

Raise $2$ to the power of $1$ .

$2^{1} {(2)}^{2} + 2$

Step 2.2.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2^{1 + 2} + 2$

Step 2.2.1.2

Add $1$ and $2$ .

$2^{3} + 2$

Step 2.2.2

Raise $2$ to the power of $3$ .

$8 + 2$

Step 2.3

Add $8$ and $2$ .

$10$

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