The derivative measures change and locates peaks. This course applies it to related rates, monotonicity and optimisation problems.
The course follows the NCERT Class 12 Mathematics chapter Application of Derivatives and has 2 lessons. Each lesson explains the ideas with worked examples and ends with practice questions and full answers. The numbers in every example and question are our own, so the lessons can be used alongside the textbook exercises.
- Rates of Change and Monotonicity — Rates of change in related quantities, marginal cost and revenue, and increasing and decreasing functions.
- Maxima, Minima and Mixed Practice — Local and absolute extremes, first and second derivative tests, optimisation problems, and mixed practice.
By the end you will be able to:
- Solve rate-of-change problems.
- Find intervals where a function increases or decreases.
- Find local and absolute maxima and minima.
- Solve optimisation problems.