Tangent Line Show that the equation of the tangent line to at the point is
Chapter 10, Problem 89(choose chapter or problem)
Show that the equation of the tangent line to \(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\) at the point \(\left(x_{0}, y_{0}\right)\) is \(\left(\frac{x_{0}}{a^{2}}\right) x-\left(\frac{y_{0}}{b^{2}}\right) y=1\).
Text Transcription:
x^2 / a^2 - y^2 / b^2 = 1
(x_0, y_0)
(x_0 / a^2) x - (y_0 / b^2) y = 1
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