Consider the function

$f$:$R^3$longrightarrowR,$f(x,y,z)=2x^3{y}^{2}z-2x{y}^2{z}^4$

Find the following partial derivatives.

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}(x,y,z),=$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}}(x,y,z),=$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{z}}(x,y,z),=$

$$

$\frac{de{l}^{2}f}{del{y}^2}(x,y,z)=$

$$

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

$$

Your last answer was interpreted as follows:

$6*x^2*y^2*z-2*y^2*z^4$

Your last answer was interpreted as follows:

$4*x^3*y*z-4*x*y*z^4$

The variables found in your answer were: $x,y,z$

Your last answer was interpreted as follows:

$2*x^3*y^2*z-8*x*y^2*z^3$

The variables found in your answer were: $x,y,z$

Your last answer was interpreted as follows:

$4*x^3*z-4*x*z^4$

The variables found in your answer were: $x,z$

Your last answer was interpreted as follows:

$12*x^2*y*z-4*y*z^4$

The variables found in your answer were: $x,y,z$

$?$