Calculus Examples

$h (t) = \sin (2 \cdot \frac{π}{4})$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $4$ .

$\frac{d}{d x} [\sin (2 \cdot \frac{π}{2 (2)})]$

Step 1.2

Cancel the common factor.

$\frac{d}{d x} [\sin (2 \cdot \frac{π}{2 \cdot 2})]$

Step 1.3

Rewrite the expression.

$\frac{d}{d x} [\sin (\frac{π}{2})]$

Step 2

The exact value of $\sin (\frac{π}{2})$ is $1$ .

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

Step 3

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

$0$