求下列函数的二阶导数 2 6题

1个回答

  • (1) y'=3/5x^(-2/5)

    y"=3/5(-2/5)x^(-7/5)

    -6/25x^(-7/5)

    (2) y'=-2xe^(-x^2)

    y"=-2[e^(-x^2)+x(-2x)e^(-x^2)]

    =-2e^(-x^2)(1-2x^2)

    (3) y'=acosax-bsinbx

    y"=-a^2sinax-b^2cosbx

    (4) y'=e^xsinx+e^xcosx

    =e^x(sinx+cosx)

    y"=e^x(sinx+cosx)+e^x(cosx-sinx)

    =2cosxe^x

    (5) y'=2/(2x)

    =1/x

    y"=-1/x^2

    (6) y'=ln(x+2)+x/(x+2)

    y"=1/(x+2)+[(x+2)-x]/(x+2)^2

    =(x+2)/(x+2)^2+2/(x+2)^2

    =(x+2+2)/(x+2)^2

    =(x+4)/(x+2)^2