Calculus Examples

$p (t) = 500 (1 - e^{- 0.2 \cdot 4})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Multiply $- 0.2$ by $4$ .

$\frac{d}{d x} [500 (1 - e^{- 0.8})]$

Step 1.2

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

$\frac{d}{d x} [500 (1 - \frac{1}{e^{0.8}})]$

Step 2

Since $500 (1 - \frac{1}{e^{0.8}})$ is constant with respect to $x$ , the derivative of $500 (1 - \frac{1}{e^{0.8}})$ with respect to $x$ is $0$ .

$0$