Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of 2^(3*x)
Derivative of -2/x
Derivative of 1/cos(x)
Derivative of 1/(1-x)
Integral of d{x}:
2/x^2
Graphing y =:
2/x^2
Limit of the function:
2/x^2
Identical expressions
two /x^ two
2 divide by x squared
two divide by x to the power of two
2/x2
2/x²
2/x to the power of 2
2 divide by x^2
Similar expressions
sin(x)^4*log(e)^((2/x)^2)
x^2/(x^2-2)^2
(x-2)/(x^2+1)
(3*x^3-5+12/x^(2/3))^3

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