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GATE | GATE CS 2012 | Question 9

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Consider the function f(x) = sin(x) in the interval [π/4, 7π/4]. The number and location(s) of the local minima of this function are


One, at π/2


One, at 3π/2


Two, at π/2 and 3π/2


Two, at π/4 and 3π/2

Answer: (D)


Sine function increases till π/2 and so for the considered interval π/4 would be a local minimum. From π/2, value of sine keeps on decreasing till 3π/2 and hence 3π/2 would be another local minima.

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Last Updated : 28 Jun, 2021
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