Mister Exam

Derivative of x+cos(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
x + cos(x)
$$x + \cos{\left(x \right)}$$
x + cos(x)
Detail solution
  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of cosine is negative sine:

    The result is:


The answer is:

The graph
The first derivative [src]
1 - sin(x)
$$1 - \sin{\left(x \right)}$$
The second derivative [src]
-cos(x)
$$- \cos{\left(x \right)}$$
The third derivative [src]
sin(x)
$$\sin{\left(x \right)}$$