Calculus Examples

$f (x) = \frac{\sin (\frac{π}{3})}{\frac{π}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

The exact value of $\sin (\frac{π}{3})$ is $\frac{\sqrt{3}}{2}$ .

$\frac{d}{d x} [\frac{\sqrt{3}}{2} \cdot \frac{3}{π}]$

Step 3

Combine fractions.

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Step 3.1

Multiply $\frac{\sqrt{3}}{2}$ by $\frac{3}{π}$ .

$\frac{d}{d x} [\frac{\sqrt{3} \cdot 3}{2 π}]$

Step 3.2

Move $3$ to the left of $\sqrt{3}$ .

$\frac{d}{d x} [\frac{3 \sqrt{3}}{2 π}]$

Step 4

Since $\frac{3 \sqrt{3}}{2 π}$ is constant with respect to $x$ , the derivative of $\frac{3 \sqrt{3}}{2 π}$ with respect to $x$ is $0$ .

$0$