求下列导函数(1) y=x^2cosx(2) y=(e^x+1)/(e^x-1)(3) y=sin^3*2x(4) y=in(x+_数学解答

求下列导函数
(1) y=x^2cosx
(2) y=(e^x+1)/(e^x-1)
(3) y=sin^3*2x
(4) y=in(x+√(1+x^2) )

人气：334 ℃　时间：2020-06-26 23:04:03

解答

(1)y=x^2cosxy'=2xcosx-x^2sinx(2)y=(e^x+1)/(e^x-1)=(e^x-1+2)/(e^x-1)=1+2/(e^x-1)y'=2*(-1/(e^x-1)^2)*e^x=-2e^x/(e^x-1)^2(3)y=sin^3 2xy'=3sin^2 2x *cos2x *2=6sin^2 2x cos2x(4)y=ln(x+√(1+x^2)y'=1/(x+√(1...