Derivative of cosx/3

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cos(x)
------
  3

$$\frac{\cos{\left(x \right)}}{3}$$

d /cos(x)\
--|------|
dx\  3   /

$$\frac{d}{d x} \frac{\cos{\left(x \right)}}{3}$$

Transform

Detail solution

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:
  
  $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
So, the result is: $- \frac{\sin{\left(x \right)}}{3}$

The answer is:

$- \frac{\sin{\left(x \right)}}{3}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-sin(x) 
--------
   3

$$- \frac{\sin{\left(x \right)}}{3}$$

Simplify

The second derivative [src]

-cos(x) 
--------
   3

$$- \frac{\cos{\left(x \right)}}{3}$$

Simplify

The third derivative [src]

sin(x)
------
  3

$$\frac{\sin{\left(x \right)}}{3}$$

Simplify

The graph