question_answer 1)

 Find the maximum and minimum values of x + sin 2x on [0, ]  

Answer:

Let f(x) = x +  sin  2x             f?(x) = 01 + 2 cos 2x = 0                                                 (Put n = 0, 1, 2, ?..)      

x	0
f(x)	0

         f(x) have maximum value =  and minimum value = 0 at x = 0.