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Let f(x) be continuous in a neighbourhoo...

Let f(x) be continuous in a neighbourhood of 'a' and `g(a) ne 0` g is continuous at x=a. Let f be a function such that `f'(x)=g(x) (x-a)^(2)`, then :

A

f is decreasing at a if `g(a) gt 0`

B

f is increasing at a if `g(a) gt 0`

C

f is increasing at a if `g(a) lt 0`

D

None of these.

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The correct Answer is:
B
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