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Let f'(x)=f(x)(x-a)^(2), where g(a) ne 0...

Let `f'(x)=f(x)(x-a)^(2)`, where `g(a) ne 0` and g is continuous at x=a then

A

f is increasing in the nbd of a

B

f is decreasing in the nbd

C

f increases of decreases in the nbd of a according as `g(a) gt 0 or g(a) lt 0 `

D

none of these

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The correct Answer is:
C
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