Understanding Derivatives, Gradients, Jacobians, and Hessians in Calculus
By
ibobev
Toasted golden, schmeared with insight. Top of the rack.
Summary
The article delves into the fundamental concepts of derivatives, gradients, Jacobians, and Hessians in calculus, illustrating their applications with examples. It explains how derivatives measure the rate of change of a function and their role in optimization problems.
Key quotes
· 3 pulledDerivatives are the most fundamental concept in calculus. If you have a function, a derivative tells you how much that function changes at each point.
One use of derivatives is for optimization – also known as finding the lowest part on a graph.
If you were at a point and wanted to know whether you should go left or right to get lower, the derivative would guide you.
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