Derivative of y=sin(pi/2)

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   /pi\
sin|--|
   \2 /

$$\sin{\left(\frac{\pi}{2} \right)}$$

d /   /pi\\
--|sin|--||
dx\   \2 //

$$\frac{d}{d x} \sin{\left(\frac{\pi}{2} \right)}$$

Transform

Detail solution

Let $u = \frac{\pi}{2}$ .
The derivative of sine is cosine:

$\frac{d}{d u} \sin{\left(u \right)} = \cos{\left(u \right)}$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \frac{\pi}{2}$ :
1. The derivative of the constant $\frac{\pi}{2}$ is zero.
The result of the chain rule is:

$0$

The answer is:

$0$

The first derivative [src]

$$0$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify