Calculus Examples

$f (x) = \sec (x) \cdot 3$

Step 1

Differentiate using the Constant Multiple Rule.

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Step 1.1

Move $3$ to the left of $\sec (x)$ .

$\frac{d}{d x} [3 \cdot \sec (x)]$

Step 1.2

Since $3$ is constant with respect to $x$ , the derivative of $3 \sec (x)$ with respect to $x$ is $3 \frac{d}{d x} [\sec (x)]$ .

$3 \frac{d}{d x} [\sec (x)]$

Step 2

The derivative of $\sec (x)$ with respect to $x$ is $\sec (x) \tan (x)$ .

$3 \sec (x) \tan (x)$