Derivative of 288/x

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288
---
 x

$$\frac{288}{x}$$

d /288\
--|---|
dx\ x /

$$\frac{d}{d x} \frac{288}{x}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
So, the result is: $- \frac{288}{x^{2}}$

The answer is:

$- \frac{288}{x^{2}}$

The graph

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The first derivative [src]

-288 
-----
   2 
  x

$$- \frac{288}{x^{2}}$$

Simplify

The second derivative [src]

576
---
  3
 x

$$\frac{576}{x^{3}}$$

Simplify

The third derivative [src]

-1728 
------
   4  
  x

$$- \frac{1728}{x^{4}}$$

Simplify

The graph