Understand and apply the concept of limits to solve problems involving continuity and instantaneous rates of change.
Develop proficiency in differentiating various functions, such as polynomial, exponential, logarithmic, and trigonometric functions, and use these techniques to analyze systems.
Learn to sketch and analyze the behavior of functions by identifying key features like intercepts, asymptotes, and intervals of increase and decrease using derivatives.
Locate and classify critical points, including relative and absolute maxima, minima, and points of inflection, and understand their significance in phenomena.
Use derivatives to solve practical problems, including motion analysis, optimization problems, and understanding the dynamics of systems.