如下
解:1,(6)y'=-2cscxcotx/(1+x^2)+2cscx*(-1)*2x/(1+x^2)^2
=-2cscxcotx/(1+x^2)-3xcscx/(1+x^2)^2=-(2cscxcotx+4x^2cscxcotx+3xcscx)/(1+x^2)^2
(7) y'=(2/x+3x^2)/(3lnx+x2)+(2lnx+x^3)*(-1)*(3/x+2x)/(3lnx+x^2)^2
=(2+3x^3)/[x(3lnx+x^2)]-(3+2x^2)(2lnx+x^3)/[x(3lnx+x^2)^2]
=(9x^3lnx-4x^2lnx+x^5-3x^2+2x^2)/[x(3lnx+x^2)^2]
2,(7) y'=e^tan(1/x)*[sec(1/x)*(-1/x^2)=-sec(1/x)e^tan(1/x)/x^2
题解