Page 2: Advanced Mathematical Concepts and Applications
This page focuses on higher-level mathematical concepts, particularly differentiation examples and integration techniques, along with probability and normal distribution.
Definition: The Chain Rule for differentiation states that d/dx(f(g(x))) = g'(x)f'(g(x)), essential for differentiating composite functions.
Example: For normal distribution, the standardized score formula Z = (X-μ)/σ converts any normal distribution to standard normal form.
Highlight: The integration section provides comprehensive formulas for various function types, including exponential, trigonometric, and polynomial functions.
Vocabulary: Parametric equations - equations where two or more variables are expressed in terms of a parameter.