Find the maximum or minimum value, if any, without using derivatives, – InterviewSolution

1.

Find the maximum or minimum value, if any, without using derivatives, of the function: sin 2x + 5

Answer»

For all x

– 1 ≤ sin 2x ≤ 1

By adding 5

5 – 1 ≤ sin 2x + 5 ≤ 5 + 1

On further calculation

4 ≤ f (x) ≤ 6

Here the minimum value of f (x) = 4 and minimum value of f (x) = 6.

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