Calculus Examples

$- \csc (x)$

Step 1

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

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

Step 2

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

$- (- \csc (x) \cot (x))$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 1$ by $- 1$ .

$1 (\csc (x) \cot (x))$

Step 3.2

Multiply $\csc (x)$ by $1$ .

$\csc (x) \cot (x)$

Step 3.3

Reorder the factors of $\csc (x) \cot (x)$ .

$\cot (x) \csc (x)$