Calculating Maxima and Minima

This page explains the process of finding local maxima and minima using derivatives. The method involves calculating first and second derivatives to determine critical points.

Example: For function f(x) = x³ - 3x², finding extrema through:

1. First derivative: f'(x) = 3x² - 6x
2. Setting f'(x) = 0 and solving
3. Calculating y-coordinates
4. Determining nature of extrema

Definition: Extrema occur at points where the first derivative equals zero and the second derivative determines whether it's a maximum or minimum

Highlight: The second derivative test is crucial for distinguishing between maxima and minima

Finding Intersection Points and Zeros

This page introduces fundamental mathematical operations and symbols used throughout the guide for calculating various function properties.

Vocabulary: Basic mathematical operators including multiplication (×), division (÷), and addition (+) are introduced.

Highlight: These fundamental operations form the basis for more complex calculations in the following sections.