Mister Exam

Derivative of 5*cos(x)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
5*cos(x)
$$5 \cos{\left(x \right)}$$
5*cos(x)
Detail solution
  1. 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:

    So, the result is:


The answer is:

The graph
The first derivative [src]
-5*sin(x)
$$- 5 \sin{\left(x \right)}$$
The second derivative [src]
-5*cos(x)
$$- 5 \cos{\left(x \right)}$$
The third derivative [src]
5*sin(x)
$$5 \sin{\left(x \right)}$$
The graph
Derivative of 5*cos(x)