대답:
# dy / dx = - (2sin (x-y) + 2xcos (x-y)) / (1-2xcos (x-y)
설명:
우리는 재 배열 및 단순화하여 다음을 얻을 수 있습니다.
# -2xsin (x-y) = y #
# d / dx y = d / dx -2xsin (x-y) #
dx x = d / dx -2x sin (x-y) -2xd / dx sin (x-y)
# d / dx y = - 2sin (x-y) -2xd / dx sin (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
chqain 규칙을 사용하면 # d / dx = dy / dx * d / dy #
(x-y) -2xcos (x-y) (1-dy / dxd / dy y) # dy / dxd / dy
# dy / dx = -2sin (x-y) -2xcos (x-y) (1-dy / dx) #
dx / dx = -2sin (x-y) -2xcos (x-y) + 2xcos (x-y) dy /
# 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)
