Word Count : 380

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Let ( f(x,y) ) be a function of two independent variables ( x ) and ( y ). The first order partial derivatives measure the rate of change of the function with respect to one variable while keeping the other variable constant. The first order partial derivative of ( f ) with respect to ( x ) is defined as [ \frac{\partial f}{\partial x} = \lim_{h \to 0} \frac{f(x+h, y) - f(x,y)}{h} ] where ( y ) is treated as a constant. Similarly, the first order partial derivative with respect to ( y ) is ____ _______ ____ __________ _______ ___ _____ ___.
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