Exponential Function: Theory and Applications

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Page 3 of 4

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Derivatives of Elementary Functions

Explores the derivation of elementary and trigonometric functions, including sine, cosine, and tangent.

Trigonometric Equations: Sinus and Cosinus

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Angle and Functions

Delves into fundamental special functions like trigonometric, logarithmic, and exponential functions, emphasizing the concept of angles in various applications.

Exponential Functions: Important Examples

Explores important examples of exponential functions and their limits, including lim (1 + ²)² = 0 and lim ex as x→∞.

Hyperbolic Functions

Covers hyperbolic functions, including definitions, properties, and derivatives, explained with detailed examples and derivations.

Polynomial, Exponential, Logarithmic Functions

Covers polynomial, exponential, and logarithmic functions, differentiability, compositions, and limits.

Geometric Series: Properties and Applications

Explores the properties and applications of geometric series, including logarithmic functions and theorems related to area under curves.

Pairs of Functions

Discusses reciprocal functions and their graphs, including x² and √x, e^x and ln(x), and tangent and arc tangent.

Symmetries of Trigonometric Functions

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.