Derivative of sqrt(x)+2

You have entered [src]

  ___    
\/ x  + 2

\sqrt{x} + 2

sqrt(x) + 2

Detail solution

Differentiate $\sqrt{x} + 2$ term by term:
1. Apply the power rule: $\sqrt{x}$ goes to $\frac{1}{2 \sqrt{x}}$
2. The derivative of the constant $2$ is zero.
The result is: $\frac{1}{2 \sqrt{x}}$

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