Calculus Examples

$y = 7 \csc (x)$

Step 1

Since $7$ is constant with respect to $x$ , the derivative of $7 \csc (x)$ with respect to $x$ is $7 \frac{d}{d x} [\csc (x)]$ .

$7 \frac{d}{d x} [\csc (x)]$

Step 2

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

$7 (- \csc (x) \cot (x))$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 1$ by $7$ .

$- 7 (\csc (x) \cot (x))$

Step 3.2

Reorder the factors of $- 7 \csc (x) \cot (x)$ .

$- 7 \cot (x) \csc (x)$