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Derivative of:
Derivative of (-2)/x^3
Derivative of ln(x^2-4x)
Derivative of e^(3/x)
Derivative of (2*x+1)*(x^2+3*x-1)
Integral of d{x}:
(-2)/x^3
Identical expressions
(- two)/x^ three
( minus 2) divide by x cubed
( minus two) divide by x to the power of three
(-2)/x3
-2/x3
(-2)/x³
(-2)/x to the power of 3
-2/x^3
(-2) divide by x^3
Similar expressions
(2)/x^3

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

Derivative of (-2)/x^3

The solution

You have entered [src]

-2 
---
  3
 x

$$- \frac{2}{x^{3}}$$

-2/x^3

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Let $u = x^{3}$ .
2. Apply the power rule: $\frac{1}{u}$ goes to $- \frac{1}{u^{2}}$
3. Then, apply the chain rule. Multiply by $\frac{d}{d x} x^{3}$ :
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  The result of the chain rule is:
  
  $- \frac{3}{x^{4}}$
So, the result is: $\frac{6}{x^{4}}$

The answer is:

$\frac{6}{x^{4}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

6 
--
 4
x

$$\frac{6}{x^{4}}$$

Simplify

The second derivative [src]

-24 
----
  5 
 x

$$- \frac{24}{x^{5}}$$

Simplify

The third derivative [src]

120
---
  6
 x

$$\frac{120}{x^{6}}$$

Simplify

The graph

Derivative of (-2)/x^3