ตอบ:
# DY / DX = - (2sin (x-y) + 2xcos (x-y)) / (1-2xcos (x-y)) #
คำอธิบาย:
เราสามารถจัดเรียงใหม่และทำให้ง่ายขึ้นที่จะได้รับ:
# -2xsin (x-y) y = #
# d / DX Y = d / DX -2xsin (x-y) #
# d / DX Y = d / DX -2x บาป (x-y) -2xd / DX บาป (x-y) #
# d / DX Y = - 2sin (x-y) -2xd / DX บาป (x-y) #
# d / DX Y = - 2sin (x-y) -2xcos (x-y) d / DX x-Y #
# d / DX Y = - 2sin (x-y) -2xcos (x-y) (d / DX x -d / DX Y) #
# d / DX Y = - 2sin (x-y) -2xcos (x-y) (d / DX x -d / DX Y) #
การใช้กฎ chqain ทำให้เราเข้าใจได้ # d / DX = DY / DX * d / DY #
# DY / DXD / DY Y = - 2sin (x-y) -2xcos (x-y) (1-DY / DXD / DY Y) #
# DY / DX = -2sin (x-y) -2xcos (x-y) (1-DY / DX) #
# DY / DX = -2sin (x-y) -2xcos (x-y) + 2xcos (x-y) DY / DX #
# DY / DX-2xcos (x-y) DY / DX = -2sin (x-y) -2xcos (x-y) #
# DY / DX 1-2xcos (x-y) = - 2sin (x-y) -2xcos (x-y) #
# DY / DX = - (2sin (x-y) + 2xcos (x-y)) / (1-2xcos (x-y)) #
