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If f'(x)=(x-a)^(2010)(x-b)^(2009) and ag...

If `f'(x)=(x-a)^(2010)(x-b)^(2009) and agtb`, then

A

f(x) has relative maxima at x = b

B

f(x) has relative minima at x = b

C

f(x) has relative maxima at x = a

D

f(x) has neither maxima, nor minima at x = a

Text Solution

Verified by Experts

The correct Answer is:
B, D
Given `f'(x)=(x-a)^(2010)(x-b)^(2009) and a gtb`
Sign scheme of f'(x) is

From sign scheme, x = b is point of minima and x = a is neither maxima nor minima.
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