Which of these is NOT a requirement for a function to be differentiable at a point?

The function must be discontinuous at that point.

The function must be continuous at that point.

The limit from the left and right must be equal at that point.

The function must be defined at that point.

The function must be discontinuous at that point.

If a function is differentiable at a point, what else must be true?

It can be either continuous or discontinuous.

It must not exist at that point.

It has a smooth curve at that point.

Sometimes differentiable, sometimes not

The function must be discontinuous at that point.

It has a smooth curve at that point.

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