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The derivative as a slope
The derivative is the slope of a curve at a point, the limit of slopes between two ever closer points; at the bottom of a smooth valley it is zero.
Foundations
Derivatives and gradients
Training a model means walking downhill on its loss, and the slope says which way is down. This topic reads the derivative as the slope at a point, gathers the slopes over two parameters into the gradient, and passes rates along a chain of functions with the chain rule.
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