什么是1 = e ^ y-xcos(xy)的隐式导数?

什么是1 = e ^ y-xcos(xy)的隐式导数?
Anonim

回答:

#(DY)/ DX =(cosxy-xysinxy)/(E ^ Y +的x ^ 2(sinxy))#

说明:

#1 = E ^的y xcos(XY)#

#rArr(D1)/ DX = d / DX(E ^的y xcos(XY))#

#rArr0 =(解^ Y)/ DX-(d(xcos(XY)))/ DX#

#rArr0 =(DY / DX)E 1Ý - (((DX)/ DX)cosxy + X(dcosxy)/ DX)#

#rArr0 =(DY / DX)E 1 Y-(cosxy + X(DXY)/ DX(-sinxy))#

#rArr0 =(DY / DX)E 1 Y-(cosxy +×((Y + X(DY)/ DX)( - sinxy)))#

#rArr0 =(DY / DX)E 1 Y-(cosxy + X(-ysinxy-X(DY)/ DX(sinxy)))#

#rArr0 =(DY / DX)E 1 Y-(cosxy-xysinxy-X ^ 2(DY)/ DX(sinxy))#

#rArr0 =(DY / DX)E 1的y cosxy + xysinxy + X ^ 2(DY)/ DX(sinxy)#

#rArr0 =(DY / DX)在线^ Y + X ^ 2(DY)/ DX(sinxy)-cosxy + xysinxy#

#rArr0 =(DY / DX)(E ^ Y +的x ^ 2(sinxy)) - cosxy + xysinxy#

#rArrcosxy-xysinxy =(DY / DX)(E ^ Y +的x ^ 2(sinxy))#

#rArr(DY)/ DX =(cosxy-xysinxy)/(E ^ Y +的x ^ 2(sinxy))#