How do you find the derivative of the function f(x)=x3?

1 Answer
Jan 3, 2017

ddxx3=2x|x|

Explanation:

We have that:

for x(0,+), x3=x3 and ddxx3=2x2

for x(,0), x3=x3 and ddxx3=2x2

for x=0 we can state ddxx3=0 for continuity

So in general:

ddxx3=2x|x|