Find the maximum and the minimum values, if any, without using derivat – InterviewSolution

1.

Find the maximum and the minimum values, if any, without using derivatives of the functions: f(x) = sin 2x + 5 on R

Answer»

Given as f(x) = sin 2x + 5 on R

As we know that – 1 ≤ sin 2x ≤ 1

= – 1 + 5 ≤ sin2x + 5 ≤ 1 + 5

= 4 ≤ sin 2x + 5 ≤ 6

Thus, the maximum and minimum value of h are 4 and 6 respectively.

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