Continuity and DifferentiabilityHard

Question

Let f(x) = a + b | x | + c | x |4, where a, b and c are real constants. Then f(x) is differentiable at x = 0, if -

Options

A.a = 0
B.b = 0
C.c = 0
D.None of these

Solution

f(x) = a + b | x | + c | x |4
f(x) =
f′(x) =
diff. at x = 0 when b = 0

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