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Multivariable Calculus & Gradients

Functions of several variables: partial derivatives, the gradient as the direction of steepest ascent, directional derivatives, level curves, tangent planes, critical points, and gradient descent in machine learning.

30 min · 6 steps · videoJump to quiz ↓
Why the gradient is the direction of steepest ascent Khan Academy · 11 min
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Step 1 of 6 · Overview30 min read ·
Key idea
Prereqs: Derivatives; vectors & dot products. Next: Optimization for ML; differential equations. Sources: Stewart, *Calculus* ch. 14; MIT 18.02; Khan Academy.
Next: 1. Partial derivatives
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