# How do you find the derivative of #sqrt(1/x^3)#?

##### 1 Answer

Mar 15, 2016

Rewrite it.

#### Explanation:

Now apply the power rule.

**If you really like the quotient rule and algebra** , then use

So the derivative is

Now simplify algebraically to get

**If you are a glutton for algebra** use the chain rule and the quotient rule:

# = 1/2 (1/x^3)^(-1/2) [d/dx(1/x^3)]#

# = 1/2 (1/x^3)^(-1/2) [((0)x^3-1(3x^2))/(x^3)^2]#

Now simplify algebraically.