Continuity and DifferentiabilityHard

Question

Let f(x) = where g(x) is an even function differentiable at x = 0, passing through the origin. Then f′(0)

Options

A.is equal to 1
B.is equal to 0
C.is equal to 2
D.does not exist

Solution

f′(0+) =

f′(0) =

∴ f′(0) = 0

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