Give an appropriate answer.How are the partial derivatives ?f/?x and ?f/?y of a function f(x,y) defined? How are they interpreted and calculated?
What will be an ideal response?
Definitions:
(a, b) = 
and 
(a, b) = 
?f/?x is the slope of the line tangent at (a,b) to the cross-section curve z = f(x, b).
?f/?y is the slope of the line tangent at (a,b) to the cross-section curve z = f(a, y).
?f/?x is calculated by treating y as a constant and then applying the standard rules for differentiation of a function with respect to x.
?f/?y is calculated by treating x as a constant and then applying the standard rules for differentiation of a function with respect to y.
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