Question #6433990Single Choice

Geometry

Question

Original Statement: If a function is continuous at a point, then it is differentiable at that point.

Question: Which of the following is the correct inverse of the statement, and is the inverse true or false?

Options

A
    If a function is not continuous at a point, then it is not differentiable at that point. (True)
B
    If a function is not differentiable at a point, then it is not continuous at that point. (False)
C
    If a function is differentiable at a point, then it is continuous at that point. (True)
D
    If a function is continuous at a point, then it is not discontinuous at that point. (True)

Answer & Analysis

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