Calculus Examples

$f (x) = e^{x} (x - 3)$ , $f (- 2)$

Step 1

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

$f (- 2) = e^{- 2} ((- 2) - 3)$

Step 2

Simplify $e^{- 2} ((- 2) - 3)$ .

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Step 2.1

Remove parentheses.

$e^{- 2} ((- 2) - 3)$

Step 2.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{e^{2}} ((- 2) - 3)$

Step 2.3

Subtract $3$ from $- 2$ .

$\frac{1}{e^{2}} \cdot - 5$

Step 2.4

Combine $\frac{1}{e^{2}}$ and $- 5$ .

$\frac{- 5}{e^{2}}$

Step 2.5

Move the negative in front of the fraction.

$- \frac{5}{e^{2}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{e^{2}}$

Decimal Form:

$- 0.67667641 \dots$