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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.5 Parabolas, Ellipses, and Hyperbolas, #36 · Geometry · Conic sections

Find the slope of … at

This problem is about parabolas, are about ellipses, are about hyperbolas.

Find the slope of $y^{2} - x^{2} = 1$ at $(x_{0}, y_{0})$ . Show that $y y_{0} - x x_{0} = 1$ goes through this point with the right slope (it has to be the tangent line).

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.5 Parabolas, Ellipses, and Hyperbolas, #36

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