`x^2 + y^2 = 9` Find `dy/dx` by implicit differentiation.

Expert Answers
mathace eNotes educator| Certified Educator

Given: `x^2+y^2=9`

`2x+2ydy/dx=0`

`2ydy/dx=-2x`

`dy/dx=(-2x)/(2y)`

`dy/dx=(-x)/(y)`

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kandukurimaths | Student

`x^2+y^2=9`

convert into polar coordinates

`x=3cos(theta)`

`y=3sin(theta)`

`dy/(d(theta))=3cos(theta) `

`dx/(d(theta))=-3sin(theta)
`

`dy/dx=-x/y`

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