哪位大神知道5,6两题过程,谢谢
2个回答
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(5)
e^y = acos(x+y)
e^y.dy/dx = -asin(x+y) . ( 1+ dy/dx)
[e^y + asin(x+y)] dy/dx = -asin(x+y)
[ acos(x+y) +asin(x+y) ] dy/dx = -asin(x+y)
dy/dx = -sin(x+y)/[ cos(x+y) +sin(x+y) ]
(6)
ysinx-cos(x-y) =0
ycosx - sinx . dy/dx +sin(x-y) . ( 1- dy/dx ) =0
[sinx + sin(x-y) ]. dy/dx =ycosx - sin(x-y)
dy/dx =[ycosx - sin(x-y)]/[sinx + sin(x-y) ]
e^y = acos(x+y)
e^y.dy/dx = -asin(x+y) . ( 1+ dy/dx)
[e^y + asin(x+y)] dy/dx = -asin(x+y)
[ acos(x+y) +asin(x+y) ] dy/dx = -asin(x+y)
dy/dx = -sin(x+y)/[ cos(x+y) +sin(x+y) ]
(6)
ysinx-cos(x-y) =0
ycosx - sinx . dy/dx +sin(x-y) . ( 1- dy/dx ) =0
[sinx + sin(x-y) ]. dy/dx =ycosx - sin(x-y)
dy/dx =[ycosx - sin(x-y)]/[sinx + sin(x-y) ]
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