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

Derivative of sqrt(x)

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

The graph:

from to

Piecewise:

The solution

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

  1. Apply the power rule: x\sqrt{x} goes to 12x\frac{1}{2 \sqrt{x}}

The answer is:

12x\frac{1}{2 \sqrt{x}}

The graph
02468-8-6-4-2-101005
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   1   
-------
    ___
2*\/ x
12x\frac{1}{2 \sqrt{x}}
Simplify
The second derivative [src] 
 -1   
------
   3/2
4*x
−14x32- \frac{1}{4 x^{\frac{3}{2}}}
Simplify
The third derivative [src] 
  3   
------
   5/2
8*x
38x52\frac{3}{8 x^{\frac{5}{2}}}
Simplify
The graph
Derivative of sqrt(x)
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