Derivative: Monotonicity and Extrema

This example demonstrates the relationship between the monotonicity and extrema of a function and its derivative. Key math concepts include derivatives, intervals of increase/decrease, extreme points, and function graphs. Construction highlights involve using commands like Derivative, Segment, and Textfield with objects such as eq1, g, f, f', xcur, A, B, C, h, i, a, ans, text1, dans, text2, InputBox1, text3, text4. Suitable for high school and above students learning calculus to understand function properties.