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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.1 Vector Fields, #33 · Multivariable Calculus · Vector calculus

Show directly that the hyperbolas … and … are perpendicular at the…

Show directly that the hyperbolas $x y = 2$ and $x^{2} - y^{2} = 3$ are perpendicular at the point $(2, 1)$ , by computing both slopes $d y / d x$ and multiplying to get $- 1$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.1 Vector Fields, #33

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