Calculus Examples

$f (2) = 3 x^{3} - 2 x^{2} + 5 x - 5$

Step 1

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

$f (2) = 3 {(2)}^{3} - 2 {(2)}^{2} + 5 (2) - 5$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

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

$f (2) = 3 \cdot 8 - 2 {(2)}^{2} + 5 (2) - 5$

Step 2.1.2

Multiply $3$ by $8$ .

$f (2) = 24 - 2 {(2)}^{2} + 5 (2) - 5$

Step 2.1.3

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

$f (2) = 24 - 2 \cdot 4 + 5 (2) - 5$

Step 2.1.4

Multiply $- 2$ by $4$ .

$f (2) = 24 - 8 + 5 (2) - 5$

Step 2.1.5

Multiply $5$ by $2$ .

$f (2) = 24 - 8 + 10 - 5$

$f (2) = 24 - 8 + 10 - 5$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Subtract $8$ from $24$ .

$f (2) = 16 + 10 - 5$

Step 2.2.2

Add $16$ and $10$ .

$f (2) = 26 - 5$

Step 2.2.3

Subtract $5$ from $26$ .

$f (2) = 21$

$f (2) = 21$

Step 2.3

The final answer is $21$ .

$21$

$21$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$