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288/x
The derivative of the function/ 288/x

Derivative of 288/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
288
---
 x
288x\frac{288}{x} 
d /288\
--|---|
dx\ x /
ddx288x\frac{d}{d x} \frac{288}{x}
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: 1x\frac{1}{x} goes to −1x2- \frac{1}{x^{2}}

    So, the result is: −288x2- \frac{288}{x^{2}}

The answer is:

−288x2- \frac{288}{x^{2}}

The graph
02468-8-6-4-2-1010-5000050000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-288 
-----
   2 
  x
−288x2- \frac{288}{x^{2}}
Simplify
The second derivative [src] 
576
---
  3
 x
576x3\frac{576}{x^{3}}
Simplify
The third derivative [src] 
-1728 
------
   4  
  x
−1728x4- \frac{1728}{x^{4}}
Simplify
The graph
Derivative of 288/x
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