Derivative of cos

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cos(x)

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

cos(x)

Detail solution

The derivative of cosine is negative sine:

$\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$

The answer is:

$- \sin{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-sin(x)

$$- \sin{\left(x \right)}$$

Simplify

The second derivative [src]

-cos(x)

$$- \cos{\left(x \right)}$$

Simplify

The third derivative [src]

sin(x)

$$\sin{\left(x \right)}$$

Simplify

The graph