If f′(x) = g(x)(x − λ)2 where g(λ) ≠ 0 and g(x) is continuous at x = λ then function f(x)

MonotonicityHard

Question

If f′(x) = g(x)(x − λ)² where g(λ) ≠ 0 and g(x) is continuous at x = λ then function f(x)

A.increasing near to λ if g(λ) > 0

B.decreasing near to λ if g(λ) > 0

C.increasing near to λ if g(λ) < 0

D.increasing near to λ for every value of g(λ)

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