Applications of Derivatives
Critical points, curve sketching, optimization, and linearization
What You'll Learn in Applications of Derivatives
Critical points, curve sketching, optimization, and linearization
This section contains 5 topics with 0 subtopics, 0 practice problems and 26 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
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All Topics in Applications of Derivatives
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