Заданы функции z=fx y z=φx y z=gx y

А)
∂f∂x=2+3xy2-4y5+cosx3y5x'=3y2-sinx3y5x3y5x'=
=3y2-3x2y5sinx3y5;
∂2f∂x2=3y2-3x2y5sinx3y5x'=-3y5x2x'sinx3y5-3y5x2sinx3y5x'=
=-6xy5sinx3y5-3y5x2cosx3y5x3y5x'=-6xy5sinx3y5-9y10x4cosx3y5;
∂f∂y=2+3xy2-4y5+cosx3y5y'=6xy-20y4-sinx3y5x3y5y'=
=6xy-20y4-5x3y4sinx3y5;
∂2f∂y2=6xy-20y4-5x3y4sinx3y5y'=6x-80y3-5x3y4y'sinx3y5-
-5x3y4sinx3y5y'=6x-80y3-20x3y3sinx3y5-5x3y4cosx3y5x3y5y'==6x-80y3-20x3y3sinx3y5-25x6y8cosx3y5.
б)∂φ∂x=lnx5-y2x'=x5-y2x'x5-y2=5x4x5-y2;
∂φ∂y=lnx5-y2y'=x5-y2y'x5-y2=-2yx5-y2;
в)
∂g∂x=sinx5y3x'=cosx5y3x5y3x'=5x4y3cosx5y3;
∂2g∂x∂y=5x4y3cosx5y3y'=5x4y3y'cosx5y3+5x4y3cosx5y3y'=
=15x4y2cosx5y3-5x4y3sinx5y3x5y3y'=15x4y2cosx5y3-15x9y5sinx5y3;
∂g∂y=sinx5y3y'=cosx5y3x5y3y'=3x5y2cosx5y3;
∂2g∂y∂x=3x5y2cosx5y3x'=3y2x5x'cosx5y3+3x5y2cosx5y3x'=
=15x4y2cosx5y3-3x5y2sinx5y3x5y3x'=15x4y2cosx5y3-15x9y5sinx5y3;
Т