Derivative of sqrt(x)

You have entered [src]

  ___
\/ x

$$\sqrt{x}$$

d /  ___\
--\\/ x /
dx

$$\frac{d}{d x} \sqrt{x}$$

Transform

Detail solution

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   1   
-------
    ___
2*\/ x

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

Simplify

The second derivative [src]

 -1   
------
   3/2
4*x

$$- \frac{1}{4 x^{\frac{3}{2}}}$$

Simplify

The third derivative [src]

  3   
------
   5/2
8*x

$$\frac{3}{8 x^{\frac{5}{2}}}$$

Simplify

The graph