z=y/根号下x^2+y^2的偏导数
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Z(x,
y)
=
2x
sin2
y..............................(1)
?Z/?x
=
2sin2
y..................................(2)
?Z/?y
=
4xsinycosy
=
2x
sin(2y)........(3)
?2Z/?x2
=
0
.......................................(4)
?2Z/?y2
=
4x
cos(2y).........................(5)
?2Z/?x?y
=
4sinycosy
=
2sin(2y).......(6)
求偏导的基本方法是:对x求偏导时将y看成常数,对y求偏导时将x看作常数!
y)
=
2x
sin2
y..............................(1)
?Z/?x
=
2sin2
y..................................(2)
?Z/?y
=
4xsinycosy
=
2x
sin(2y)........(3)
?2Z/?x2
=
0
.......................................(4)
?2Z/?y2
=
4x
cos(2y).........................(5)
?2Z/?x?y
=
4sinycosy
=
2sin(2y).......(6)
求偏导的基本方法是:对x求偏导时将y看成常数,对y求偏导时将x看作常数!
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