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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.4 Directional Derivatives and Gradients, #31 · Multivariable Calculus · Gradient & optimization

At the point … on the mountain …, which way is up

At the point $(2, 1, 6)$ on the mountain $z = 9 - x - y^{2}$ , which way is up? On the roof $z = x + 2 y + 2$ , which way is down? The roof is ____ to the mountain.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.4 Directional Derivatives and Gradients, #31

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