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The maximum value of f(x) = 2bx^2 - x^4 ...

The maximum value of `f(x) = 2bx^2 - x^4 -3b` is g(b), where `b gt 0`. If b varies, then maximum value of g(b) is

A

`(3)/(2)`

B

`(9)/(2)`

C

`- (9)/(4)`

D

`- (9)/(2)`

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The correct Answer is:
C
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