Calculate the all of the second order derivatives of f(x,y)=x^4
y- 〖3x〗^4 y^3+5y-10
Let be f(x,y,x)=2x^5 yz^3-3x^(-4) y^3 calculate the f_xyz=?
If f(x,y,z)〖=5e〗^(-xyz^6 ) +lnx calculate the f_yxz=?
Let f(x,y)=cos(x^3 y) ise df/dx=? df/dy=?
z=2x+y , x=sin(3t ) and y=cos(3t) using the chain rule calculate
the dz/dt where t=π/2.
Find the critical points of the f(x,y)=〖6x〗^2+12y^2+12x-24y and
provide the information about the critical points obtained (if it
is max, min or saddle point).