Exponential Functions Problem Solving Tutorial
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In this math tutorial, learn about problem solving with exponential growth and exponential decay functions. Each one has a constant relative rate of change (percent rate of change). An exponential growth function has a doubling-time and an exponential decay function has a half-life. Both kinds of functions have graphs which are concave up. Infinite Powers, How Calculus Reveals the Secrets of the Universe: https://amzn.to/37PBMjb.
π΄ Calculus 1, Lesson 1.1: Linear Functions (3Blue1Brown SoME2): https://www.youtube.com/watch?v=lmCjnxzIals
π΄ Calculus 1, Lesson 1.2: Exponential Functions: https://www.youtube.com/watch?v=47ZqW19AjD4
π΄ AP Calculus AB Exam Review: Practice Exam Problems & Solutions (Multiple Choice, No Calculator): https://www.youtube.com/watch?v=2AG_Dt3x7q0
π΄ AP Calculus AB Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=RLgUwP44V_M
π΄ AP Calculus BC Exam Review: Practice Exam (30 Question Multiple Choice, No Calculator): https://www.youtube.com/watch?v=1Q7ALcwT97A
π΄ AP Calculus BC Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=ZWisJEDP44w
π΄ Calculus 1 Exam 1 Review Problems and Solutions (Precalculus, Limits, Continuity, Derivatives): https://www.youtube.com/watch?v=UjmvUwvd7c4
π΄ Calculus 1 Course, Lecture 1: The Big Ideas (Rates & Areas, the Infinity Principle & Circular Area): https://www.youtube.com/watch?v=2V_ehJC5QUY
π΄ Calculus 1 Course Lecture Playlist: https://www.youtube.com/playlist?list=PLmU0FIlJY-MkFrKtM0S0NLu-TxZa5jBIx
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(0:00) Exponential function growth and decay
(11:40) Find the base and the relative rate of growth (given two data points for an exponential function)
(18:52) Given doubling time, find amounts and relative rate of growth
(25:26) Exponential decay (photocopies)
(30:35) Numerical function growth and concavity
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