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Numerade Educator



Problem 47 Hard Difficulty

Show, using implicit differentiation, that any tangent line at a point $ P $ to a circle $ O $ is perpendicular to the radius $ OP. $


$y^{\prime}=-\frac{x}{y}$, $P\left(x_{0}, y_{0}\right)$ is $-\frac{x_{0}}{y_{0}}$, $\frac{-1}{-x_{0} / y_{0}}=\frac{y_{0}}{x_{0}}$

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Video Transcript

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