Question: In Problem 11, the derivative y was found to be when x2 + y2 = 4. (a) Take the implicit derivative of the equation for

In Problem 11, the derivative y was found to be

—х y' =

when x2 + y2 = 4.
(a) Take the implicit derivative of the equation for y` to show that

-y +. ху y

(b) Substitute - x/y for y` in the expression for y'' in part (a) and simplify to show that

y' = -y +. y" y?

(c) Does y'' = - 4/y3? Why or why not?

y' = -y +. y" y?

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