a. By differentiating implicitly, show that dy/dx = x/y.

Chapter , Problem 84PE

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QUESTION:

a. By differentiating implicitly, show that dy/dx = x/y. b. Then show that

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QUESTION:

a. By differentiating implicitly, show that dy/dx = x/y. b. Then show that

ANSWER:

Solution Step 1 of 2: 2 2 dy x (a)By differentiating x y = 1implicitly we have to show that dx = y x y = 1 Differentiate both sides by xwe get d (x y ) = d (1) dx dx dy 2x 2y dx= 0 dy 2y = 2x dx dy x dx = y

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