Mister Exam

Other calculators

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

Derivative of 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
1x23\frac{1}{x^{\frac{2}{3}}} 
x^(-2/3)
Detail solution

  1. Apply the power rule: 1x23\frac{1}{x^{\frac{2}{3}}} goes to −23x53- \frac{2}{3 x^{\frac{5}{3}}}

The answer is:

−23x53- \frac{2}{3 x^{\frac{5}{3}}}

The graph
02468-8-6-4-2-1010-5050
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 -2   
------
   5/3
3*x
−23x53- \frac{2}{3 x^{\frac{5}{3}}}
Simplify
The second derivative [src] 
  10  
------
   8/3
9*x
109x83\frac{10}{9 x^{\frac{8}{3}}}
Simplify
The third derivative [src] 
  -80   
--------
    11/3
27*x
−8027x113- \frac{80}{27 x^{\frac{11}{3}}}
Simplify
The graph
Derivative of x^(-2/3)
    © Mister Exam – Calculator