Extreme Value Theorem (EVT): AP® Calculus AB-BC Review
The Extreme Value Theorem plays a crucial role in AP® Calculus AB-BC. It guarantees that … Read more
Advanced Placement®
Mean Value Theorem (MVT): AP® Calculus AB-BC Review
The mean value theorem is an important principle in calculus that connects average rate of … Read more
L’Hospital’s Rule and Indeterminate Forms: A Review
Limits are a foundation of calculus. They describe the behavior of functions as inputs approach … Read more
Linearization and Approximating Function Values: AP® Calculus AB-BC Review
Ever need an answer now but only have a pencil? Engineers, doctors, and game designers … Read more
4.5 Solving Related Rates Problems: AP® Calculus AB-BC Review
Related rates problems ask, “If one quantity changes over time, how quickly does a connected … Read more
Related Rates Calculus, an Introduction: AP® Calculus AB-BC Review
Related rates calculus focuses on how different quantities change with respect to a common variable, … Read more
Derivative of Volume of a Cone and other Applied Contexts
Derivatives are powerful tools for understanding how quantities change. These tools appear in many real-world … Read more
Particle Motion Calculus: AP® Calculus AB-BC Review
Why study particle motion calculus? On the AP® exam, free-response questions often ask about the … Read more
Rate of Change Meaning in Context: AP® Calculus AB-BC Review
Rates of change arise in many real-life situations, such as measuring how quickly water drains … Read more
Second Derivative Notation and Higher-Order Derivatives
Derivatives are a core concept in calculus and describe how a function changes. They form … Read more