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Mathing Math
·
Module 11
Applications of Differentiation
1
Tangent Lines and Derivatives
Apply derivatives to find the equation of a tangent line to a curve at a given point.
2
First Derivative Test for Intervals of Increase and Decrease
Determine intervals where a function is increasing or decreasing using the first derivative.
3
Using the First Derivative Test to Find Extrema
Find local (relative) maxima and minima of a function using the first derivative test.
4
Concavity and Inflection Points
Determine the concavity of a function and find points of inflection using the second derivative.
5
The Second Derivative Test
Classify local extrema using the second derivative test.
6
Absolute Extrema in Optimization
Solve optimisation (optimization) problems by finding absolute extrema.
Applying L'Hôpital's Rule for Indeterminate Forms
Apply L'Hôpital's Rule to evaluate indeterminate forms of limits.
Previous module
The Derivative and Differentiation Rules
Next module
Introduction to Integration