Let L denote a tangent line at (x, y) to a solution ofEquation (1), and let (x1, y1)

Chapter 8, Problem 69

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Let L denote a tangent line at (x, y) to a solution of Equation (1), and let \(\left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right)\) denote any two points on L. Prove that Equation (2) is satisfied by \(d y=\Delta y=y_{2}-y_{1}\) and \(d x=\Delta x=x_{2}-x_{1}\)

Equation Transcription:

Text Transcription:

(x_1,y_1),(x_2,y_2)

dy=Delta/y=y_2-y_1

dy=Delta/y=x_2-x_1

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