SOLUTION: Find the derivative of y with respect to x. The given relation is x^2 +y^2 = 4ay.

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Question 1084626: Find the derivative of y with respect to x. The given relation is x^2 +y^2 = 4ay.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2By%5E2%22%22=%22%224ay   

2x%2B2y%2Aexpr%28dy%2Fdx%29%22%22=%22%224a%2Aexpr%28dy%2Fdx%29

Divide through by 2

x%2By%2Aexpr%28dy%2Fdx%29%22%22=%22%222a%2Aexpr%28dy%2Fdx%29

y%2Aexpr%28dy%2Fdx%29-2a%2Aexpr%28dy%2Fdx%29%22%22=%22%22-x

expr%28dy%2Fdx%29%28y-2a%29%22%22=%22%22-x

dy%2Fdx%22%22=%22%22%28-x%29%2F%28y-2a%29

or multiply top and bottom by -1

dy%2Fdx%22%22=%22%22x%2F%28-y%2B2a%29

dy%2Fdx%22%22=%22%22x%2F%282a-y%29
Edwin