Question

If f(x)=x³ the the function is called

Answer 1

Answer:

f(x)=∣x−3∣

Redefine this function;

f(x)=⎩⎪⎪⎨⎪⎪⎧3−x,0,x−3,x<3x=3x>3

f′(x)=⎩⎪⎪⎨⎪⎪⎧−1,0,1,x<3x=3x>3

It is clear that, 

Lf′(3)=Rf′(3).

∴f′(3) does not exist.

Answer 2

Answer:

This Method is called The Bijection.