Continuity and DifferentiabilityHard

Question

Identify the correct statement -

Options

A.If f (x) is derivable at x = a , | f (x) | will also be derivable at x = a.
B.If f (x) is continuous at x = a, | f (x) | too will be continuous at x = a.
C.If f (x) is discontinuous at x = a, | f (x) | will also be discontinuous at x = a.
D.If | f (x) | is continuous at x = a, f (x) too will be continuous at x = a.

Solution

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