求y=2xsin(2x+50的导数觉得答案有不对呵呵._数学解答

求y=2xsin(2x+50的导数觉得答案有不对呵呵.

人气：295 ℃　时间：2020-04-22 08:45:32

解答

y=2xsin(2x+5)
y'=2x'*sin(2x+5)+2x*[sin(2x+5)]'
=2sin(2x+5)+2xcos(2x+5)*(2x+5)'
=2sin(2x+5)+2xcos(2x+5)*2
=2sin(2x+5)+4xcos(2x+5)