is the actual vertical change along that tangent line for a horizontal shift 2. Analiz I: Single-Variable Calculus

Analiz I typically focuses on functions of a . The study of differentials here is characterized by:

: It acts as a tool for linearization —using the tangent line at a point to approximate the function's value nearby. Geometric Meaning : While the derivative is the slope of the tangent line, the differential

: The differential is used to estimate errors and calculate small changes in physical systems. 3. Analiz II: Multivariable and Integral Calculus