Calculus Examples

$6.687 {(0.931)}^{x}$

Step 1

Since $6.687$ is constant with respect to $x$ , the derivative of $6.687 \cdot {0.931}^{x}$ with respect to $x$ is $6.687 \frac{d}{d x} [{0.931}^{x}]$ .

$6.687 \frac{d}{d x} [{0.931}^{x}]$

Step 2

Differentiate using the Exponential Rule which states that $\frac{d}{d x} [a^{x}]$ is $a^{x} \ln (a)$ where $a$ = $0.931$ .

$6.687 ({0.931}^{x} \ln (0.931))$

Step 3

Multiply $\ln (0.931)$ by $6.687$ .

$- 0.47809376 \cdot {0.931}^{x}$