# How do you find the derivative of the function #f(x)=abs(x^3)#?

##### 1 Answer

Jan 3, 2017

#### Explanation:

We have that:

for

#x in (0,+oo)# ,#abs(x^3) =x^3# and#d/(dx) abs(x^3) = 2x^2# for

#x in (-oo,0)# ,#abs(x^3) =-x^3# and#d/(dx) abs(x^3) = -2x^2# for

#x=0# we can state#d/(dx) abs(x^3) = 0# for continuity

So in general: