Question
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin (2x + 3)
Solution
Let f (x) = sin (2 x + 3)
We know that – 1 ≤ sin ≤ for all
∴ maximum value of sin (2 x + 3) is 1 and minimum value of sin (2 x + 3) is – 1.