Derivative of cos(pi:12)

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   /pi\
cos|--|
   \12/

$$\cos{\left(\frac{\pi}{12} \right)}$$

d /   /pi\\
--|cos|--||
dx\   \12//

$$\frac{d}{d x} \cos{\left(\frac{\pi}{12} \right)}$$

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Detail solution

Let $u = \frac{\pi}{12}$ .
The derivative of cosine is negative sine:

$\frac{d}{d u} \cos{\left(u \right)} = - \sin{\left(u \right)}$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \frac{\pi}{12}$ :
1. The derivative of the constant $\frac{\pi}{12}$ 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