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:
