Calculus Examples

$f (x) = 2 \sin (2) x$

Step 1

Evaluate $\sin (2)$ .

$\frac{d}{d x} [2 \cdot 0.03489949 x]$

Step 2

Multiply $2$ by $0.03489949$ .

$\frac{d}{d x} [0.06979899 x]$

Step 3

Since $0.06979899$ is constant with respect to $x$ , the derivative of $0.06979899 x$ with respect to $x$ is $0.06979899 \frac{d}{d x} [x]$ .

$0.06979899 \frac{d}{d x} [x]$

Step 4

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 1$ .

$0.06979899 \cdot 1$

Step 5

Multiply $0.06979899$ by $1$ .

$0.06979899$