Differential Calculus 1:
- Branch of calculus focused on rates of change and behavior of functions.
- Derivative measures rate of change and slope of a function.
- Differentiability determines if a function's derivative exists at a point.
- Rules of differentiation aid in finding derivatives of functions.
- Applications include optimization, slope analysis, physics problems.
- Higher order derivatives represent rates of change of rates of change.
- Implicit differentiation handles implicitly defined functions.
- Related rates involve finding rates of change between related quantities.
- Curve sketching analyzes critical points, intervals, and concavity.
- Foundation for advanced calculus concepts and real-world applications.
