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1/2*sqrt(x)
The derivative of the function/ 1/2*sqrt(x)

Derivative of 1/2*sqrt(x)

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

The graph:

from to

Piecewise:

The solution

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

  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:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   1   
-------
    ___
4*\/ x
$$\frac{1}{4 \sqrt{x}}$$
Simplify
The second derivative [src] 
 -1   
------
   3/2
8*x
$$- \frac{1}{8 x^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
   3   
-------
    5/2
16*x
$$\frac{3}{16 x^{\frac{5}{2}}}$$
Simplify
The graph
Derivative of 1/2*sqrt(x)
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