Compute all the first and second partial derivatives of the function

$f(x,t)=xcos(4t^4-4xt)$

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

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

$$

$$

$($Caution: writing "xsin$(..)"$ or "xcos$(..)"$ will cause an error; write $"$x$*.$