• Why study maxima and minima?
Maximum and Minimum values of a function.
• Understanding maximum and minimum .
• Understanding Local Maximum and Local Minimum
• Understanding Global Maximum and Global Minimum
• Understanding Absolute Maximum and Absolute Minimum in a closed interval.
• Understanding the behavior of f ‘(x) at Local Maxima and Local Minima.
Stationary, Critical and points of Inflexion, and Concavity
• Understanding Stationary, Critical and points of Inflexion.
• Understanding the concept of concavity. More about points of Inflexion.
Derivative Tests for Local Maximum and Local Minimum
• Understanding First Derivative Test for Local Maximum and Local Minimum.
• Understanding Second Order Derivative Test for Local Maximum and Local Minimum
• Understanding Higher Order Derivative Test for Local Maximum and Local Minimu
Examples on maximum and minimum
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Examples on First Derivative Test
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Examples on Second Derivative Test
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Examples on Absolute Maximum and Absolute Minimum in a closed interval
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Optimization problems