14. Directional Derivatives and Gradients - Contents

1. Derivative along a Curve and the Gradient

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   1. Derivative along a Curve and the Gradient

2. Derivative along a Vector

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   1. Derivative along a Vector

3. Directional Derivatives

     1   2
   1. Directional Derivatives
   2. Applications of Directional Derivatives

4. Properties of the Gradient

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   1. Properties of the Gradient
   2. Applications of Gradient Properties 1 & 2
   3. Applications of Gradient Properties 3 & 4

5. Tangent and Normal, Lines and Planes to Level Sets

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   1. Tangent Lines to Level Curves in \(\mathbb R^2\)
   2. Tangent Planes to Level Surfaces in \(\mathbb R^3\)
   3. Normal Lines to Level Sets

6. Exercises

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   1. Exercises