Which statement about a function at is always true?

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Which statement about a function ff at x=ax=a is always true? (a) If ff is continuous at x=ax=a, then ff is differentiable at x=ax=a. (b) If ff has a removable discontinuity at x=ax=a, then ff is differentiable at x=ax=a. (c) If ff is differentiable at x=ax=a, then ff is continuous at x=ax=a. (d) If the tangent line to ff is vertical at x=ax=a, then ff is differentiable at x=ax=a.

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