On-demand lessons are offered by topic. The price starts at $65 and depends on the number of students per session and the number and type of topics, as some topics could require more than an hour or multiple sessions. Please contact the teacher to get a quote for your needs and the time for the service.
Limits & Continuity Topics
- The Concept of Instantaneous Rate of Change
- Understanding the Limit
- Properties of Limits
- Finding Limits Analytically
- Limits of Transcendental Functions
- Limits and Continuity
- Infinite Limits and Limits at Infinity
- Intermediate Value Theorem
Basic Derivatives Topics
- Rates of Change and Tangent Lines
- Tangent Lines and the Derivative
- Understanding the Derivative
- Differentiability and Continuity
- Basic Differentiation Rules
- Product and Quotient Rules
- Velocity and Other Rates of Change
Differentiations Topics
- The Chain Rule
- Symbolic Differentiation
- Implicit Differentiation
- Inverse Derivatives
- Derivatives of Inverse Trigonometric Functions
Applications of Differentiation Topics
- Interpretations of the Derivative in Context
- Straight Line Motion: Connecting Position, Velocity & Acceleration
- Rates of Change in Other Applications
- Related Rates
- Local Linearity and Linearization
- L’Hospital’s Rule
Analytic Applications of Differentiation Topics
- Mean Value Theorem
- Extrema on an Interval
- First Derivative Test Increasing and Decreasing Functions
- Concavity and the Second Derivative Test
- Curve Sketching
- Solving Optimization Problems
