) y=cos(x-y)
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) y=cos(x-y)
求一阶导数
y=cos(x-y)
求三阶导数
y=e^-x
y=(e^2x)(sinx)
求一阶导数
y=cos(x-y)
求三阶导数
y=e^-x
y=(e^2x)(sinx)
1.两边求导得:y'=-sin(x-y)(1-y')
解得 y'=sin(x-y)/[sin(x-y)-1]
2.y'=-e^-x
y''=e^-x
y'"=-e^-x
3.y'"=(e^2x)'"(sinx)+3(e^2x)"(sinx)'+3(e^2x)'(sinx)"+(e^2x)(sinx)'"
=8(e^2x)(sinx)+12(e^2x)(cosx)+6(e^2x)(-sinx)+(e^2x)(-cosx)
=(e^2x)(2sinx+11cosx)
解得 y'=sin(x-y)/[sin(x-y)-1]
2.y'=-e^-x
y''=e^-x
y'"=-e^-x
3.y'"=(e^2x)'"(sinx)+3(e^2x)"(sinx)'+3(e^2x)'(sinx)"+(e^2x)(sinx)'"
=8(e^2x)(sinx)+12(e^2x)(cosx)+6(e^2x)(-sinx)+(e^2x)(-cosx)
=(e^2x)(2sinx+11cosx)
) y=cos(x-y)
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