Mister Exam

Derivative of cos(x)-sin(x)

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

The graph:

from to

Piecewise:

The solution

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

    1. The derivative of cosine is negative sine:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of sine is cosine:

      So, the result is:

    The result is:


The answer is:

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