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Discuss how the definitions of directional derivative (from calculus) and dot product (also called the inner product) can be used to justify the following statement: The gradient points in the direction of maximum increase of a differentiable function from R2 to R.

Discuss how the definitions of directional derivative (from calculus) and dot product (also called the inner product) can be used to justify the following statement: The gradient points in the direction of maximum increase of a differentiable function from R2 to R.

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