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Let f(x)=(x-1)^(4)(x-2)^(n), n in N.. Th...

Let `f(x)=(x-1)^(4)(x-2)^(n)`, n in N.. Then f(x) has

A

a local maximum at x=1 if n is odd

B

a local maximum at x=1 if n is even

C

a local minimum at x=2 if n is even

D

a local maximum at x=2 if n is odd

Text Solution

Verified by Experts

The correct Answer is:
A, D
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