Calculus Examples

$f (x) = - \cos (π)$

Step 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

$\frac{d}{d x} [- - \cos (0)]$

Step 2

The exact value of $\cos (0)$ is $1$ .

$\frac{d}{d x} [- (- 1 \cdot 1)]$

Step 3

Multiply.

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Step 3.1

Multiply $- 1$ by $1$ .

$\frac{d}{d x} [- - 1]$

Step 3.2

Multiply $- 1$ by $- 1$ .

$\frac{d}{d x} [1]$

Step 4

Since $1$ is constant with respect to $x$ , the derivative of $1$ with respect to $x$ is $0$ .

$0$