← Calculus

How to solve

Differentiate both sides in x; every y becomes y' via the chain rule.

Steps

  1. Differentiate: 2x + 2y y' = 0.
  2. Solve y' = −x/y.
  3. Plug in the point.

Example

x²+y²=25 at (3,4)

  1. y' = −3/4.

Answer: -3/4

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