In this tutorial, we use Calculus to find the maximum value and minimum value of a function f(x).
We first prove Fermat's Theorem, which states that f'(x) = 0 at maximums and minimums, and we use this fact to solve max/min problems.
We also look at more advanced theorems like The Extreme Value Theorem, and The Mean Value Theorem to justify our steps.
* Aimed at students in their final two years of high school.
* Studying mathematics is best done by working through examples and exercises. There are many interactive examples and exercises in this tutorial that must be completed to achieve 100% progress.
* Written by a Maths teacher with 20 years of teaching experience.
* Completely free (no Ads).
* Works without internet so that you can learn while travelling in the train, bus etc.
* Internet access only required for links to Privacy Policy and other tutorials.
* Made with GameMaker (www.yoyogames.com)
* Some of the graphics (pictures) are from www.kenney.nl (free game assets, no strings attached).
We first prove Fermat's Theorem, which states that f'(x) = 0 at maximums and minimums, and we use this fact to solve max/min problems.
We also look at more advanced theorems like The Extreme Value Theorem, and The Mean Value Theorem to justify our steps.
* Aimed at students in their final two years of high school.
* Studying mathematics is best done by working through examples and exercises. There are many interactive examples and exercises in this tutorial that must be completed to achieve 100% progress.
* Written by a Maths teacher with 20 years of teaching experience.
* Completely free (no Ads).
* Works without internet so that you can learn while travelling in the train, bus etc.
* Internet access only required for links to Privacy Policy and other tutorials.
* Made with GameMaker (www.yoyogames.com)
* Some of the graphics (pictures) are from www.kenney.nl (free game assets, no strings attached).
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