Calculus Examples

$P (t) = 20.6 e^{- 0.0009 \cdot 18}$

Step 1

Multiply $- 0.0009$ by $18$ .

$\frac{d}{d x} [20.6 e^{- 0.0162}]$

Step 2

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

$\frac{d}{d x} [20.6 \frac{1}{e^{0.0162}}]$

Step 3

Combine $20.6$ and $\frac{1}{e^{0.0162}}$ .

$\frac{d}{d x} [\frac{20.6}{e^{0.0162}}]$

Step 4

Since $\frac{20.6}{e^{0.0162}}$ is constant with respect to $x$ , the derivative of $\frac{20.6}{e^{0.0162}}$ with respect to $x$ is $0$ .

$0$