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

Derivative of 2/sqrt(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2  
-----
  ___
\/ x
$$\frac{2}{\sqrt{x}}$$ 
d /  2  \
--|-----|
dx|  ___|
  \\/ x /
$$\frac{d}{d x} \frac{2}{\sqrt{x}}$$
Transform
Detail solution

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

    1. Let .

    2. Apply the power rule: goes to

    3. Then, apply the chain rule. Multiply by :

      1. Apply the power rule: goes to

      The result of the chain rule is:

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-1  
----
 3/2
x
$$- \frac{1}{x^{\frac{3}{2}}}$$
Simplify
The second derivative [src] 
  3   
------
   5/2
2*x
$$\frac{3}{2 x^{\frac{5}{2}}}$$
Simplify
The third derivative [src] 
 -15  
------
   7/2
4*x
$$- \frac{15}{4 x^{\frac{7}{2}}}$$
Simplify
The graph
Derivative of 2/sqrt(x)
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