Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
Analytical applications of differentiation involve using the techniques of calculus to analyze and solve real-world problems. It focuses on finding rates of change, maximizing or minimizing quantities, and determining the behavior of functions.
Optimization is the process of finding the maximum or minimum value of a function. It involves using differentiation techniques to determine where a function reaches its highest or lowest point.
Related Rate Problems: Related rate problems involve finding how different variables are changing with respect to each other. By using differentiation, we can determine how one quantity affects another in real-world scenarios.
Curve Sketching: Curve sketching involves analyzing the behavior and characteristics of a function by examining its graph. This technique utilizes differentiation to find critical points, intervals where the function increases or decreases, and concavity.
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