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The derivative of the function/ (sqrt(3)/(x))+sqrt(3)/(2)

Derivative of (sqrt(3)/(x))+sqrt(3)/(2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  ___     ___
\/ 3    \/ 3 
----- + -----
  x       2
$$\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{x}$$ 
sqrt(3)/x + sqrt(3)/2
Detail solution

  1. Differentiate term by term:

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

      1. Apply the power rule: goes to

      So, the result is:

    2. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   ___ 
-\/ 3  
-------
    2  
   x
$$- \frac{\sqrt{3}}{x^{2}}$$
Simplify
The second derivative [src] 
    ___
2*\/ 3 
-------
    3  
   x
$$\frac{2 \sqrt{3}}{x^{3}}$$
Simplify
The third derivative [src] 
     ___
-6*\/ 3 
--------
    4   
   x
$$- \frac{6 \sqrt{3}}{x^{4}}$$
Simplify
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