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1/2(x^(3/2))
The derivative of the function/ 1/2(x^(3/2))

Derivative of 1/2(x^(3/2))

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3/2
x   
----
 2
$$\frac{x^{\frac{3}{2}}}{2}$$ 
  / 3/2\
d |x   |
--|----|
dx\ 2  /
$$\frac{d}{d x} \frac{x^{\frac{3}{2}}}{2}$$
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] 
    ___
3*\/ x 
-------
   4
$$\frac{3 \sqrt{x}}{4}$$
Simplify
The second derivative [src] 
   3   
-------
    ___
8*\/ x
$$\frac{3}{8 \sqrt{x}}$$
Simplify
The third derivative [src] 
  -3   
-------
    3/2
16*x
$$- \frac{3}{16 x^{\frac{3}{2}}}$$
Simplify
The graph
Derivative of 1/2(x^(3/2))
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