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The function f(x) = (x^(2) - 4)^(n) (x^(...

The function `f(x) = (x^(2) - 4)^(n) (x^(2) - x + 1), n in N` assumes a local minima at x = 2 then a)n can be any odd number b)n can only be a odd prime number c)n can be any even number d)n can only be a multiple of 4

A

n can be any odd number

B

n can only be a odd prime number

C

n can be any even number

D

n can only be a multiple of 4

Text Solution

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The correct Answer is:
C
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