Derivative of cos2

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cos(2)

$$\cos{\left(2 \right)}$$

cos(2)

Detail solution

Let $u = 2$ .
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 $\frac{d}{d x} 2$ :
1. The derivative of the constant $2$ is zero.
The result of the chain rule is:

$0$

The answer is:

$0$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

$$0$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph