Continuity and DifferentiabilityHard

Question

If f(x) = x. ,x ≠ 0 (a > 0), f(0) = 0 then-

Options

A.f is differentiable at x = 0
B.f is not differentiable at x = 0
C.f is not continuous at x = 0
D.None of these

Solution

f(x) = x
y = f(x) is differentiable at x = a

so differentiable at x = 0


1 ≠ -1
not differentiable at x = 0

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