# Derivative applications

Lessons

Critical pointsIncreasing & decreasing intervalsRelative minima & maximaAbsolute minima & maximaReview: Increasing/decreasing intervals & extremaConcavityPoints of inflectionSketching graphs using calculusReview: Concavity & points of inflectionLinear approximationRectilinear motionPlanar motionRelated ratesOptimizationApplied rates of changeMean value theoremL'Hôpital's ruleReview: Derivative applicationsPractice

Practice

Increasing/decreasing intervals & extremum points challenge

4 questions

Practice

Learn

Practice

Concavity intro

4 questions

Practice

Analyze concavity

4 questions

Practice

Second derivative test

4 questions

Practice

Practice

Concavity & inflection points challenge

7 questions

Practice

Learn

Practice

Related rates intro

4 questions

Practice

Related rates (multiple rates)

4 questions

Practice

Related rates (Pythagorean theorem)

4 questions

Practice

Related rates (advanced)

4 questions

Practice

Learn

Practice

Optimization

4 questions

Practice

Learn

Practice

L'Hôpital's rule: 0/0

4 questions

Practice

L’Hôpital’s rule (composite exponential functions)

4 questions

Practice

Practice

Derivative applications challenge

4 questions

Practice

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.