# Derivative applications

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Take Quiz 1 to identify your areas for growth. We'll recommend lessons for exactly what you need to learn.

Lessons

Critical pointsIncreasing & decreasing intervalsRelative minima & maximaAbsolute minima & maximaReview: Increasing/decreasing intervals & extremaQuiz 1ConcavityPoints of inflectionSketching graphs using calculusQuiz 2Review: Concavity & points of inflectionLinear approximationRectilinear motionQuiz 3Planar motionRelated ratesQuiz 4OptimizationApplied rates of changeMean value theoremQuiz 5L'Hôpital's ruleReview: Derivative applicationsUnit testPractice

Quizzes

Unit test

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Increasing/decreasing intervals & extremum points challenge

4 questions

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Concavity intro

4 questions

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Analyze concavity

4 questions

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Second derivative test

4 questions

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Concavity & inflection points challenge

7 questions

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Approximation with local linearity

4 questions

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Related rates intro

4 questions

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Related rates (multiple rates)

4 questions

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Related rates (Pythagorean theorem)

4 questions

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Related rates (advanced)

4 questions

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Optimization

4 questions

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L'Hôpital's rule: 0/0

4 questions

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L’Hôpital’s rule (composite exponential functions)

4 questions

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Derivative applications challenge

4 questions

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**Derivative applications**with these 15 questions.About this unit

Why know how to differentiate function if you don't put it to good use? Learn about the various ways in which we can use differential calculus to study functions and solve real-world problems.