Cevap:
# Dy / dx = - (2sin (x-y) + 2xcos (x-y)) / (1-2xcos (x-y)) #
Açıklama:
Düzenlemek ve basitleştirmek için şunları yapabiliriz:
# -2xsin (x-y) y # =
# G / dx y = D / dx -2xsin (x-y) #
# G / dx y = D / dx 2x sin (x-y) -2xd / dx sin (x-y) #
# G / dx y = - 2sin (x-y) -2xd / dx sin (x-y) #
# G / dx y = - 2sin (x-y) -2xcos (x-y) d / dx x-y #
# G / dx y = - 2sin (x-y) -2xcos (x-y) (d / dx x d / dx y) #
# G / dx y = - 2sin (x-y) -2xcos (x-y) (d / dx x d / dx y) #
Chqain kuralını kullanarak bunu alırız # G / 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)) #
