三角函数最大值和最小值,

问题描述:

三角函数最大值和最小值,
Find the maximum and minimum values of the function.(Round your answers to two decimal places.)
y = x - 3sin x,x属于0到2pi

Answer:Known:y = x - 3sin xso y'=1-3cosxlet y'=0solve the function in x∈[0,2π]x=arccos(1/3) or x=2π-arccos(1/3)ymin=arccos(1/3)-3sin[arccos(1/3)]=arccos(1/3)-2√2ymax=2π-arccos(1/3)-3sin[2π-arcco...对不起,您可以说中文,我可以看得懂,请您在写的详细一点吧,谢谢了,可以写中文的!!!易求得y'=1-3cosx令y'>0解得:arccos(1/3)