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Derivative of:
Derivative of x*e^x^2
Derivative of x/cos(x)
Derivative of (x+1)/(x-1)
Derivative of x^3-x^2
Identical expressions
\sqrt(three)(cos(x)/(three))
\ square root of (3)( co sinus of e of (x) divide by (3))
\ square root of (three)( co sinus of e of (x) divide by (three))
\√(3)(cos(x)/(3))
\sqrt3cosx/3
\sqrt(3)(cos(x) divide by (3))
Similar expressions
4sin(x/3)-4*sqrt3cos(x/3)+3
\sqrt(3)(cosx/(3))

The derivative of the function/ \sqrt(3)(cos(x)/(3))

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

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

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   ___        
-\/ 3 *sin(x) 
--------------
      3

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

Simplify

The second derivative [src]

   ___        
-\/ 3 *cos(x) 
--------------
      3

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

Simplify

The third derivative [src]

  ___       
\/ 3 *sin(x)
------------
     3

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

Simplify