If $z = f ( x , y )$ and $x = s + t , y = s - t$ , then simplify $\left(\frac{\partial z}{\partial s}\right)\left(\frac{\partial z}{\partial t}\right)$ in terms of $f _ { x }$ and $f _ { y }$ .

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The Answer of If $z = f ( x , y )$ and $x = s + t , y = s - t$ , then simplify $\left(\frac{\partial z}{\partial s}\right)\left(\frac{\partial z}{\partial t}\right)$ in terms of $f _ { x }$ and $f _ { y }$ .

If z=f(x,y)z = f ( x , y )z=f(x,y) And x=s+t,y=s−tx = s + t , y = s - tx=s+t,y=s−t

If $z = f ( x , y )$ And $x = s + t , y = s - t$