Derivative of 1/t^2

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1 
--
 2
t

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

1/(t^2)

Detail solution

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

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2  
----
   2
t*t

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

Simplify

The second derivative [src]

6 
--
 4
t

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

Simplify

The third derivative [src]

-24 
----
  5 
 t

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

Simplify

The graph