Calculus Examples

$\frac{\csc (x)}{2}$

Step 1

Since $\frac{1}{2}$ is constant with respect to $x$ , the derivative of $\frac{\csc (x)}{2}$ with respect to $x$ is $\frac{1}{2} \frac{d}{d x} [\csc (x)]$ .

$\frac{1}{2} \frac{d}{d x} [\csc (x)]$

Step 2

The derivative of $\csc (x)$ with respect to $x$ is $- \csc (x) \cot (x)$ .

$\frac{1}{2} (- \csc (x) \cot (x))$

Step 3

Combine fractions.

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Step 3.1

Combine $\frac{1}{2}$ and $\csc (x)$ .

$- \frac{\csc (x)}{2} \cot (x)$

Step 3.2

Combine $\cot (x)$ and $\frac{\csc (x)}{2}$ .

$- \frac{\cot (x) \csc (x)}{2}$