Mister Exam

Lang:

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