Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

If f(x)=3 ^2 9 -x^2 +|| x |- 3 3 2 | , then the maximum value of f(x) 3 is __________.

Correct answer

Step-by-step solution

Let p(x)=3 ^2 9 -x^2 and g(x)=|| x |- 3 3 2 | . p ( x ) and g ( x ) are even functions and p(x) decreases in x [0, 3 ] and g(x) decreases in x [0, 3 3 2 ] . Hence p(x) and g(x) will be maximum at x=0 maximum value of f(x) is f(0)=3 3 .

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