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x^-(1/2)
The derivative of the function/ x^-(1/2)

Derivative of x^-(1/2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1  
-----
  ___
\/ x
$$\frac{1}{\sqrt{x}}$$ 
d /  1  \
--|-----|
dx|  ___|
  \\/ x /
$$\frac{d}{d x} \frac{1}{\sqrt{x}}$$
Transform
Detail solution

  1. Apply the power rule: goes to

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 -1   
------
   3/2
2*x
$$- \frac{1}{2 x^{\frac{3}{2}}}$$
Simplify
The second derivative [src] 
  3   
------
   5/2
4*x
$$\frac{3}{4 x^{\frac{5}{2}}}$$
Simplify
The third derivative [src] 
 -15  
------
   7/2
8*x
$$- \frac{15}{8 x^{\frac{7}{2}}}$$
Simplify
The graph
Derivative of x^-(1/2)
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