SOLUTION: Let x^2 + y^2 = 10y. First find dy/dx by implicit differentiation, simplifying the answer where reasonable. Then find an equation of the line L tangent to the graph of the g

Question 1008865: Let x^2 + y^2 = 10y.
First find
dy/dx
by implicit differentiation, simplifying the answer where reasonable. Then find an equation of the line L tangent to the graph of the given equation at the point (3, 1).
I got te answer x/(5-y) for dy/dx but not sure how to find the line L tangent at 3,1
please explain.
Thnk you
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!





Divide through by 2















Yes you were right about the derivative.

The derivative is a formula for the slope of the 
tangent line at the point (x,y).

So the slope m of the tangent line at (3,1) is found by
substituting (x,y) = (3,1) in the derivative:





Then use the point-slope formula for a line

 where (x₁, y₁) = (3,1)













Edwin

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