# Analyzing functions with calculus

## Critical points

Learn
Introduction to minimum and maximum pointsIdentifying relative minimum and maximum valuesCritical points introductionFinding critical points

## Increasing & decreasing intervals

Learn
Finding decreasing interval given the functionFinding increasing interval given the derivativeIncreasing & decreasing intervals review

## Relative minima & maxima

Learn
Finding relative extrema (first derivative test)Analyzing a function with its derivativeWorked example: finding relative extremaRelative minima & maxima review
Practice

## Absolute minima & maxima

Learn
Extreme value theoremFinding absolute extrema on a closed intervalAbsolute minima & maxima (entire domain)Absolute minima & maxima review

## Review: Increasing/decreasing intervals & extrema

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No videos or articles available in this lesson
Practice

## Concavity

Learn
Concavity introductionAnalyzing concavity (graphical)Analyzing concavity (algebraic)Second derivative testConcavity review
Practice
4 questions

## Points of inflection

Learn
Inflection points introductionInflection points (graphical)Worked example: Inflection points from first derivativeInflection points (algebraic)Inflection points review
Practice

## Sketching graphs using calculus

Learn
Curve sketching with calculus: polynomialCurve sketching with calculus: logarithm

## Review: Concavity & points of inflection

Learn
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