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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.4 Directional Derivatives and Gradients, #32 · Multivariable Calculus · Gradient & optimization

Around the point … the temperature … has … ____ … +…

Around the point $(1, - 2)$ the temperature $T = e^{- x^{2} - y^{2}}$ has $Δ T \approx$ ____ $Δ x$ + ____ $Δ y$ . In what direction $u$ does it get hot fastest?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.4 Directional Derivatives and Gradients, #32

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