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If f'(x) = g(x) (x-a)^2, where g(a) != 0...

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

A

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

B

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

C

f is decreasing near a if ` g(a) lt 0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C, D
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