Lemma
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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.4 Directional Derivatives and Gradients, #49 · Multivariable Calculus · Gradient & optimization

If … and grad … at the point …, find the tangent…

If and grad at the point , find the tangent plane at . If is a linear function, find .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.4 Directional Derivatives and Gradients, #49

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