Partial Derivatives - PartialDerivatives 3 PARTIAL DERIVATIVES 3.0 Function of Several Variables A function of a single variable y = f(x is interpreted

Partial Derivatives - PartialDerivatives 3 PARTIAL...

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Partial Derivatives CJHL2012 Page 1 3. PARTIAL DERIVATIVES 3.0 Function of Several Variables A function of a single variable y = f(x) is interpreted graphically as a planar curve. In this section we shall see that a function of two variables z = f(x,y) can be interpreted as a surface. Function of two or more variables often arise in engineering and in science and it is important to be able to deal with such functions with confidence and skill. Example 1 Given f(x,y,u) = x 2 + yu + 2, find f(0,1,0), f(-1,-1,2). f(x,y,u) = The graphs of functions of two variables, z = f ( x , y ) are surfaces in three dimensional space. For example here is the graph of z = 2 2 y x +
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