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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...

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).

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