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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.4 Directional Derivatives and Gradients, #28 · Multivariable Calculus · Gradient & optimization

True or false: (a) If we know grad …, we know

True or false:
(a) If we know grad $f$ , we know $f$ .
(b) The line $x = y = - z$ is perpendicular to the plane $z = x + y$ .
(c) The gradient of $z = x + y$ lies along that line.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.4 Directional Derivatives and Gradients, #28

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