Odgovor:
# Dy / dx = - (2sin (x-y) + 2xcos (x-y)) / (1-2xcos (x-y)) *
Obrazloženje:
Možemo preurediti i pojednostaviti dobivanje:
# -2xsin (x-y) = y #
# D / dx y = d / dx -2xsin (x-y) #
# D / dx y = d / dx -2 x 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) #
Koristeći pravilo chqain to dobivamo # D / = dx dy / dx x 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)) *
