prove that - 4 is less than or equal to cos 2 X + 3 sin x is less than or equal to 17 / 8 for all real x

prove that - 4 is less than or equal to cos 2 X + 3 sin x is less than

1.	prove that - 4 is less than or equal to cos 2 X + 3 sin x is less than or equal to 17 / 8 for all real x
Answer» If you know derivatives then this question can be SOLVED pretty easily. DIFFERENTIATE the y = cos2x + 3sinx function with RESPECT to x. Then by dy/dx=0 you'll GET some values of x. Differentiate again to get d²y/dx². SUBSTITUTE values of x (which you had obtained by dy/dx=0) in this function of d²y/dx². For d²y/dx² < 0 you'll get maximum value of function. For d²y/dx² > 0 you'll get minimum value of function. Godspeed!

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prove that - 4 is less than or equal to cos 2 X + 3 sin x is less than or equal to 17 / 8 for all real x

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