Here, we use the first derivative to determine if a critical value is an extreme value, and if so, what kind -- maximum or minimum.
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31 Calculus: Optimization in 3D Example
30 Calculus: Partial Derivatives
29 Calculus: Contour Plots in 3D
27 Calculus: AP Calculus Optimization Review
28 Calculus: Plotting a 3D Function with Python and Matplotlib
26 Calculus: Applied Optimization review I
25 Calculus: Derivative (aka Gradient) Descent in Python
20 Calculus: First Derivatives with Python
24 Calculus: Example II Second Derivative Test with Python
19 Calculus: First Derivative and Extremum
23 Calculus: Example Second Derivative Test with Python
21 Calculus: Example Finding Extreme Values
22 Calculus: Second Derivative Test
18 Calculus: Relating a Function and its Derivative
17 Calculus: Rules for Differentiation
16 Calculus: Using Definition of Derivative
15 Calculus: Definition of a Derivative
14 Calculus: Monte Carlo Integration
13 Calculus: Trapezoid Rule
12 Calculus: Error in Rectangular Approximations
11 Calculus: Gini Index
10 Calculus: Area of Multiple Regions
09 Calculus: Area Between Curves I
08 Calculus: Normal Distribution