Parial Derivative Problems with Solutions

A partial derivative is the derivative of a function of two or more variables with respect to one of the variables.  When you take the derivative with respect to one of the variables, treat the other variables as constants.  This is very helpful in analyzing the effect on a function of each of the variables as they vary independently.   This is called sensitivity analysis which is very valuable in the studies of Economics and Statistics.

Just remember that if you take a partial derivative of a function with respect to x, for example, all of the other variable are treated like constants.

partial deriv with solns

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