Vector Calculus: Understanding the Gradient – BetterExplained
https://betterexplained.com/articles/vector-calculus-understanding-the-gradient/
WebF ( x, y, z) has three variables and three derivatives: d F d x, d F d y, d F d z. The gradient of a multi-variable function has a component for each direction. And just like the regular derivative, the gradient points in the direction of greatest increase ( here's why: we trade motion in each direction enough to maximize the payoff).
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