GATE EE 2015 Set 2 — Question 5
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Engineering Mathematics → Calculus → Maxima & Minima
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Question
Consider a function on . The value of at which the function attains a maximum, and the maximum value of the function are:
Correct answer
(C) 0, 1
Solution
The function is defined on the interval .
The absolute value function is always and reaches its minimum value of at .
Since , the function will be at its maximum when the subtracted term is at its minimum.
At , .
Thus, the function attains its maximum value of at . The pair is .
The absolute value function is always and reaches its minimum value of at .
Since , the function will be at its maximum when the subtracted term is at its minimum.
At , .
Thus, the function attains its maximum value of at . The pair is .
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