Continuity and DifferentiabilityHard

Question

Select the correct statements -

Options

A.The function f defined by f(x) = is neither differentiable nor continuous at x = 1.
B.The function f(x) = x2 | x | is twice differentiable at x = 0
C.If f is continuous at x = 5 and f(5) = 2 then f(4x2-11) exists.
D.If (f(x)+g(x)) = 2 and (f(x) - g(x)) = 1 then f(x). g(x) may not exist.

Solution

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