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x^(3/4)
The derivative of the function/ x^(3/4)

Derivative of x^(3/4)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3/4
x
x34x^{\frac{3}{4}} 
d / 3/4\
--\x   /
dx
ddxx34\frac{d}{d x} x^{\frac{3}{4}}
Transform
Detail solution

  1. Apply the power rule: x34x^{\frac{3}{4}} goes to 34x4\frac{3}{4 \sqrt[4]{x}}

The answer is:

34x4\frac{3}{4 \sqrt[4]{x}}

The graph
02468-8-6-4-2-1010010
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   3   
-------
  4 ___
4*\/ x
34x4\frac{3}{4 \sqrt[4]{x}}
Simplify
The second derivative [src] 
  -3   
-------
    5/4
16*x
−316x54- \frac{3}{16 x^{\frac{5}{4}}}
Simplify
The third derivative [src] 
   15  
-------
    9/4
64*x
1564x94\frac{15}{64 x^{\frac{9}{4}}}
Simplify
The graph
Derivative of x^(3/4)
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