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-1/x^2
The derivative of the function/ -1/x^2

You entered:

-1/x^2

What you mean?

-1/(x^2)
 
-1*2/x
 
-1/(x^2)
 
-1*2/x
 
-1/(x^2)
 
-1/(x^2)

Derivative of -1/x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
-1 
---
  2
 x
$$- \frac{1}{x^{2}}$$ 
d /-1 \
--|---|
dx|  2|
  \ x /
$$\frac{d}{d x} \left(- \frac{1}{x^{2}}\right)$$
Transform
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Let .

    2. Apply the power rule: goes to

    3. Then, apply the chain rule. Multiply by :

      1. Apply the power rule: goes to

      The result of the chain rule is:

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
2 
--
 3
x
$$\frac{2}{x^{3}}$$
Simplify
The second derivative [src] 
-6 
---
  4
 x
$$- \frac{6}{x^{4}}$$
Simplify
The third derivative [src] 
24
--
 5
x
$$\frac{24}{x^{5}}$$
Simplify
The graph
Derivative of -1/x^2
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