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Derivative of \sqrt(3)(cos(x)/(3))

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
  ___ cos(x)
\/ 3 *------
        3   
$$\sqrt{3} \frac{\cos{\left(x \right)}}{3}$$
sqrt(3)*(cos(x)/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 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:

    So, the result is:


The answer is:

The graph
The first derivative [src]
   ___        
-\/ 3 *sin(x) 
--------------
      3       
$$- \frac{\sqrt{3} \sin{\left(x \right)}}{3}$$
The second derivative [src]
   ___        
-\/ 3 *cos(x) 
--------------
      3       
$$- \frac{\sqrt{3} \cos{\left(x \right)}}{3}$$
The third derivative [src]
  ___       
\/ 3 *sin(x)
------------
     3      
$$\frac{\sqrt{3} \sin{\left(x \right)}}{3}$$