Derivative of 5*cos(x)

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5*cos(x)

$$5 \cos{\left(x \right)}$$

5*cos(x)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of cosine is negative sine:
  
  $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
So, the result is: $- 5 \sin{\left(x \right)}$

The answer is:

$- 5 \sin{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-5*sin(x)

$$- 5 \sin{\left(x \right)}$$

Simplify

The second derivative [src]

-5*cos(x)

$$- 5 \cos{\left(x \right)}$$

Simplify

The third derivative [src]

5*sin(x)

$$5 \sin{\left(x \right)}$$

Simplify

The graph