Mister Exam

Derivative of cosx/3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
cos(x)
------
  3   
$$\frac{\cos{\left(x \right)}}{3}$$
d /cos(x)\
--|------|
dx\  3   /
$$\frac{d}{d x} \frac{\cos{\left(x \right)}}{3}$$
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]
-sin(x) 
--------
   3    
$$- \frac{\sin{\left(x \right)}}{3}$$
The second derivative [src]
-cos(x) 
--------
   3    
$$- \frac{\cos{\left(x \right)}}{3}$$
The third derivative [src]
sin(x)
------
  3   
$$\frac{\sin{\left(x \right)}}{3}$$
The graph
Derivative of cosx/3