Question
In Exercises 13 through 24 , find the indicated partial derivatives by holding all but one of the variables constant and applying theorems for ordinary differentiation.$$f(x, y, z)=e^{x y z}+\tan ^{-1} \frac{3 x y}{z^{2}} ; f_{2}(x, y, z)$$
Step 1
To do this, we will treat x and z as constants and differentiate the function with respect to y. f(x, y, z) = e^(xyz) + arctan((3xy)/(z^2)) Now, let's differentiate each term with respect to y: 1) For the first term, e^(xyz), we will use the chain rule. The Show more…
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