Задача 45965 ...

sova

2020-04-04 13:42:42

∂ z/ ∂ x=z`_(x)= (u/v)`_(x)=(u`_(x)*v-u*v`_(x))/v^2

u=cos(5+2x-7y)
u`_(x)=-sin(5+2x-7y) * (5+2x-7y)`_(x)=-sin(5+2x-7y) * (2)
v`_(x)=(1+x^4y^5)`_(x)=y^5*4x^3

∂ z/ ∂ y=z`_(y)= (u/v)`_(y)=(u`_(y)*v-u*v`_(y))/v^2

u=cos(5+2x-7y)
u`_(y)=-sin(5+2x-7y) * (5+2x-7y)`_(y)=-sin(5+2x-7y) * (-7)
v`_(y)=(1+x^4y^5)`_(y)=x^4*5y^3

Подставляем и получаем ответ