Which of the following statements regarding differentiability and continuity of functions are true? Choose the correct statement/s.

Question

Accepted Answer

Differentiability implies continuity.

Accepted Answer

If a function is not continuous, it will also be not differentiable.

Accepted Answer

If a function is differentiable for all   x , it will also be continuous for all   x .

Answer

If a function is continuous for all   x , it will also be differentiable for all   x .

Answer

Continuity implies differentiability.

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