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On the interval [0,1], the function f(x) = x25 (1 - x)75 takes its maximum value at the point _______.
Correct answer is '0.25'. Can you explain this answer?
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Verified Answer
On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maxim...
For critical point, we have f'(x) = 0
Note that sign of f' (x) depends on the sign of (1 - 4x).
hence f (x) is increasing when
and f (x) is decreasing when 
∴ f (x) is maximum at x = 1/4
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On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maximum value at the point_______.Correct answer is '0.25'. Can you explain this answer?
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On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maximum value at the point_______.Correct answer is '0.25'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maximum value at the point_______.Correct answer is '0.25'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maximum value at the point_______.Correct answer is '0.25'. Can you explain this answer?.
On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maximum value at the point_______.Correct answer is '0.25'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maximum value at the point_______.Correct answer is '0.25'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On the interval [0,1],the function f(x) = x25 (1 - x)75takes its maximum value at the point_______.Correct answer is '0.25'. Can you explain this answer?.
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