Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.4 Directional Derivatives and Gradients, #12 · Multivariable Calculus · Gradient & optimization

What is the gradient of

What is the gradient of $f (x)$ ? (One component only.) What are the two possible directions $u$ and the derivatives $D_{u} f$ ? What is the normal vector $N$ to the curve $y = f (x)$ ? (Two components.)

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.4 Directional Derivatives and Gradients, #12

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