Compute all the first and second partial derivatives of the function. We assume that $y>0.$

$f(x,y)=\frac{x}{y}-3x-ln(y^6).$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}=$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}}=$

$\frac{de{l}^{2}f}{del{x}^2}=$

$\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{x}\text{d}\text{e}\text{l}\text{y}}=$

$\frac{de{l}^{2}f}{del{y}^2}=$

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