Chain Rule and Implicit Differentiation
0=x2 2y2 +z 2z 4,F y =2y, Fz =2z 2 @z @x = 2y 2z 2 = y z 1 Example 5.6.0.8 3. Find @z @x for x 2y +z 2z =4 Let’s use the information from example 2. All we need to find is Fx =2x Then @z @x = 2x 2z 2 = x z 1 • Sometimes x and y are functions of one or more parameters. We may find the derivative of a function with respect to that parameter ... ................
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