Applications of Derivatives

Critical points, curve sketching, optimization, and linearization

This section contains 5 topics with 0 subtopics, 0 practice problems and 0 flashcards. Each topic includes comprehensive written notes, worked examples with detailed solutions, and interactive lessons for hands-on practice.

Topics Covered

• Applications of Derivatives — Critical points, first/second derivative tests, concavity, and curve sketching
• Optimization — Setting up and solving optimization problems in business and geometry
• Linearization & Differentials — Linear approximation, differentials, error estimation, and tangent line approximation
• Theorem Applications — Mean Value Theorem, Rolle's Theorem, Extreme Value Theorem, and IVT applications
• Particle Motion — Position, velocity, acceleration, speed, displacement, and distance

Click on any topic below to start studying. All materials are completely free.