If f ( x ) = a − ( x − 3 ) 8 / 9 , then the maximum value of f ( x ) is

Question

If f ( x ) = a − ( x − 3 ) 8 / 9 , then the maximum value of f ( x ) is, 3, a − 3, a, None of these

MARKS App · Accepted Answer

∵ f x = a - x - 3 8 / 9 ∴ f ' x = 0 - 8 9 x - 3 - 1 / 9 At x = 3 , f ' x is not defined. hence sign scheme of f ' x is ∴ f x is maximum at x = 3 Hence maximum value of f x is equal to " a "

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