MediumPartial derivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #29 · Multivariable Calculus · Partial derivatives

Find the tangent planes to … and … at

Find the tangent planes to $z = x y$ and $z = x^{2} - y^{2}$ at $x = 2, y = 1$ . Find the Newton point where those planes meet the $x y$ plane (set $z = 0$ in the tangent equations).

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #29

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