# 9.2 - MATH1081 Monday,March28 Chapter9Section2...

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MATH 1081 Monday, March 28 Chapter 9 – Section 2 PARTIAL DERIVATIVES Homework #10 (due 4/4): Section 9.2 #32, 40, 48, 60 Section 9.3 #14, 36, 38 Clicker Check-in: Choose any letter to check in now.

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As mentioned last time, when considering rates of change of a function of more than one variable, we must know with respect to which variable we are measuring the change. In particular, for a function of more than one variable, we have a partial derivative for each variable defining that function. Each of these partial derivatives indicates the rate of change of the function looking at that particular variable.
We will typically use a subscript to indicate which variable is “changing”. For all other variables of the function, we hold them fixed and treat them like constants when differentiating. The partial derivative of the function f x , y ( ) with respect to x is written with the subscript x as f x x , y ( ) . In this case, we are holding the other variable y constant and asking how does f change as x does.

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