Calculus Examples

$p (t) = 100 (1 - e^{- 0.18 \cdot 1})$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 0.18$ by $1$ .

$\frac{d}{d x} [100 (1 - e^{- 0.18})]$

Step 1.2

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

$\frac{d}{d x} [100 (1 - \frac{1}{e^{0.18}})]$

Step 2

Since $100 (1 - \frac{1}{e^{0.18}})$ is constant with respect to $x$ , the derivative of $100 (1 - \frac{1}{e^{0.18}})$ with respect to $x$ is $0$ .

$0$