Question

Describe the x-values at which f is differentiable.​

Answer 1

Answer:

Step-by-step explanation:

Differentiability at a point implies no sudden changes in the slopes from one side to the other; that is, the derivative must have the same value.

Differentiating x^2 - 6 and 6 - x^2, we get 2x = -2x, whose only solution is zero (0).  The two halves of the given function have the same slope (0) at x = 0.