# How do you find the derivative of #sqrt(x^2)#?

##### 1 Answer

Mar 22, 2016

#### Answer:

#### Explanation:

Using the chain rule we get:

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

# = x(x^2)^(-1/2)#

# = x/(x^2)^(1/2)#

# = x/sqrt(x^2)# .

This can also be written as a piecewise function.

So,