Calculus Examples

$f (10) = - 96000 e^{- 0.24 x}$

Step 1

Replace the variable $x$ with $10$ in the expression.

$f (10) = - 96000 e^{- 0.24 \cdot 10}$

Step 2

Simplify the result.

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Step 2.1

Multiply $- 0.24$ by $10$ .

$f (10) = - 96000 e^{- 2.4}$

Step 2.2

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

$f (10) = - 96000 \frac{1}{e^{2.4}}$

Step 2.3

Combine $- 96000$ and $\frac{1}{e^{2.4}}$ .

$f (10) = \frac{- 96000}{e^{2.4}}$

Step 2.4

Move the negative in front of the fraction.

$f (10) = - \frac{96000}{e^{2.4}}$

Step 2.5

The final answer is $- \frac{96000}{e^{2.4}}$ .

$- \frac{96000}{e^{2.4}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{96000}{e^{2.4}}$

Decimal Form:

$- 8708.92351578 \dots$

Step 4