Continuity and DifferentiabilityMedium

Question

Let f(x) = |x - a| φ(x), where φ is a continuous function and φ(a) ≠ 0. Then -

Options

A.f′(a+) = φ′(a)
B.f is differentiable at x = a
C.f′(a) = φ′(a)
D.f′(a-) = - φ(a)

Solution

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