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Derivative of:
Derivative of e^x^x
Derivative of 5e^x
Derivative of 3*(2-x)^6
Derivative of (-2)/x^2
Identical expressions
(- two)/x^ two
( minus 2) divide by x squared
( minus two) divide by x to the power of two
(-2)/x2
-2/x2
(-2)/x²
(-2)/x to the power of 2
-2/x^2
(-2) divide by x^2
Similar expressions
(2)/x^2

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

Derivative of (-2)/x^2

The solution

You have entered [src]

-2 
---
  2
 x

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

-2/x^2

Detail solution

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

The answer is:

$\frac{4}{x^{3}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

4 
--
 3
x

$$\frac{4}{x^{3}}$$

Simplify

The second derivative [src]

-12 
----
  4 
 x

$$- \frac{12}{x^{4}}$$

Simplify

The third derivative [src]

48
--
 5
x

$$\frac{48}{x^{5}}$$

Simplify

The graph

Derivative of (-2)/x^2