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1/(x^(2/3))

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

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 1  
----
 2/3
x   
$$\frac{1}{x^{\frac{2}{3}}}$$
1/(x^(2/3))
Detail solution
  1. Let .

  2. Apply the power rule: goes to

  3. Then, apply the chain rule. Multiply by :

    1. Apply the power rule: goes to

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
  -2    
--------
     2/3
3*x*x   
$$- \frac{2}{3 x^{\frac{2}{3}} x}$$
The second derivative [src]
  10  
------
   8/3
9*x   
$$\frac{10}{9 x^{\frac{8}{3}}}$$
The third derivative [src]
  -80   
--------
    11/3
27*x    
$$- \frac{80}{27 x^{\frac{11}{3}}}$$
The graph
Derivative of 1/(x^(2/3))