Question 1075732
The right hand derivative is 6x, and at 0 the derivative is 0.  Furthermore, as x approaches 0 from the right, the limit approaches 0.  Answer for the right-hand limit is 0.
For the left hand limit, the derivative is -12x+2, and the limit is +2. As the function approaches 0 from the left, it doesn't exist at 0, but it does exist for points less than 0, and the value approaches +2.
Because +2 and 0 are not equal, f'(0) is undefined.