# For what values of x is the function #f(x)=abs(x^2-9)# differentiable?

##### 1 Answer

Dec 21, 2016

#### Explanation:

Although

This transition occurs when:

# |x^2-9| = 0 => x^2-9=0 #

# " "=> x^2=9#

# " "=> x = +- 3#

Hence the function

graph{|x^2-9| [-20.04, 19.96, -3.16, 16.84]}