Mister Exam

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Derivative of 1/y^2

You have entered [src]

1 
--
 2
y

$$\frac{1}{y^{2}}$$

1/(y^2)

Detail solution

Let $u = y^{2}$ .
Apply the power rule: $\frac{1}{u}$ goes to $- \frac{1}{u^{2}}$
Then, apply the chain rule. Multiply by $\frac{d}{d y} y^{2}$ :
1. Apply the power rule: $y^{2}$ goes to $2 y$
The result of the chain rule is:

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2  
----
   2
y*y

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

Simplify

The second derivative [src]

6 
--
 4
y

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

Simplify

The third derivative [src]

-24 
----
  5 
 y

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

Simplify

The graph