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Georgia Highlands College
LibGuides
OER
MATH 2261: Calculus
First Derivative Test
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MATH 2261: Calculus
Welcome
Algebra Review
Unit Circle
Unit Circle-Intro-Part 1
Unit Circle-Part 2
Module 1 - Limits
Idea of a Limit
Limits from Graphs and Tables
Direct Substitution
Intermediate Forms
Squeeze Theorem
Continuity and One-Sided Limits
Intermediate Value Theorem
Infinite Limits
Limit Definition of a Derivative
Module 2 - Differentiation
Differentiability
Basic Differentiation
Product Rule
Quotient Rule
Higher Order Derivatives
Chain Rule
Derivatives of Natural Logs
Derivatives of Bases other than e
Implicit Differentiation
Logarithmic Differentiation
Derivatives of Inverse Trig Functions
Related Rates
Module 3 - Differentiation and Applications
Extrema
Rolle's and Mean Value
First Derivative Test
Concavity and the 2nd Derivative
Curve Sketching
L'Hopital's Rule and Indeterminate Forms
Optimization
Module 4 - Integration
Antiderivatives
Initial Conditions and Particular Solutions
Area and Riemann Sums
Fundamental Theorems of Calculus
Integration by Substitution
U-Substitution
Natural Log Integration
Long Division
Vid
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Rolle's and Mean Value
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