Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #17 · Multivariable Calculus · Partial derivatives

For … near …, the linear approximation is … ______

For $w = x y$ near $(x_{0}, y_{0})$ , the linear approximation is $d w =$ ______. This looks like the ______ rule for derivatives. The difference between $Δ w = x y - x_{0} y_{0}$ and this approximation is ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #17

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