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If f(x)=g(x)(x-a)^(2), where g(a)ne0, an...

If `f(x)=g(x)(x-a)^(2)`, where `g(a)ne0`, and g is continuous at x=a , then

A

f is increasing in the neighbourhood of a if `g(a)gt0`

B

f is increasing in the neighbourhood of a if `g(a)lt0`

C

f is decreasing in the neighbourhood of a if `g(a)gt0`

D

f is decreasing in the neighbourhood of a if `g(a)lt0`

Text Solution

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The correct Answer is:
A, D
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