Calculus Examples

$f (- 1) = t \sqrt{4 - t^{2}}$

Step 1

Replace the variable $t$ with $- 1$ in the expression.

$f (- 1) = (- 1) \sqrt{4 - {(- 1)}^{2}}$

Step 2

Simplify the result.

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Step 2.1

Multiply $- 1$ by ${(- 1)}^{2}$ by adding the exponents.

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Step 2.1.1

Multiply $- 1$ by ${(- 1)}^{2}$ .

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Step 2.1.1.1

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

$f (- 1) = - 1 \sqrt{4 + (- 1) {(- 1)}^{2}}$

Step 2.1.1.2

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

$f (- 1) = - 1 \sqrt{4 + {(- 1)}^{1 + 2}}$

Step 2.1.2

Add $1$ and $2$ .

$f (- 1) = - 1 \sqrt{4 + {(- 1)}^{3}}$

Step 2.2

Raise $- 1$ to the power of $3$ .

$f (- 1) = - 1 \sqrt{4 - 1}$

Step 2.3

Subtract $1$ from $4$ .

$f (- 1) = - 1 \sqrt{3}$

Step 2.4

Rewrite $- 1 \sqrt{3}$ as $- \sqrt{3}$ .

$f (- 1) = - \sqrt{3}$

Step 2.5

The final answer is $- \sqrt{3}$ .

$- \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$

Step 4