2 TF - Calculus

Question

A kind of derivative for a function of three variables: Explain why the derivative of the function xe^{-4z} \sin{y} is

\begin{align}

    e^{-4z}\sin{y}

\end{align}

 if x is the variable and y and z are constants, and the derivative is xe−4z cos y if y is the variable and x and z are constants, and the derivative is −4xe−4z sin y if z is the variable and x and y are constants. What is the derivative if x, y, and z are all constants? 

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