Given f(x, y, z) = 0 and g(x, y, z) = 0, find a formula for dy/dx

Chapter 4, Problem 26

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QUESTION:

Given f(x, y, z) = 0 and g(x, y, z) = 0, find a formula for dy/dx.

Questions & Answers

QUESTION:

Given f(x, y, z) = 0 and g(x, y, z) = 0, find a formula for dy/dx.

ANSWER:

Step 1 of 3

Well, using the given two equations, we can write expressions for  and , nevertheless, since we are concerned only with  and , we will substitute from one equation into the other to get rid of .

....(1)

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