NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

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

Options

A3
Ba − 3
Ca
DNone of these

Correct answer

C. a

Step-by-step solution

∵    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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