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

Derivative of -1/3*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    
------
  3
−x323- \frac{x^{\frac{3}{2}}}{3} 
  /  3/2 \
d |-x    |
--|------|
dx\  3   /
ddx(−x323)\frac{d}{d x} \left(- \frac{x^{\frac{3}{2}}}{3}\right)
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: x32x^{\frac{3}{2}} goes to 3x2\frac{3 \sqrt{x}}{2}

    So, the result is: −x2- \frac{\sqrt{x}}{2}

The answer is:

−x2- \frac{\sqrt{x}}{2}

The graph
02468-8-6-4-2-1010-2010
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   ___ 
-\/ x  
-------
   2
−x2- \frac{\sqrt{x}}{2}
Simplify
The second derivative [src] 
  -1   
-------
    ___
4*\/ x
−14x- \frac{1}{4 \sqrt{x}}
Simplify
The third derivative [src] 
  1   
------
   3/2
8*x
18x32\frac{1}{8 x^{\frac{3}{2}}}
Simplify
The graph
Derivative of -1/3*x^(3/2)
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