Calculus Series - Concepts and Formulas™
Limits and Differentiation Formulas (CLS-CF1)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering limits and derivatives and basic interpretations. Each concept is explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet answers questions about how to use the concepts - how to actually solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• Limits of functions
• Continuous functions
• One-sided limits
• Elementary rules of limits
• Limits of compositions of functions
• The Sandwiching Theorem
• Asymptotes
• Some special limits
• Approximation formulas
• Derivatives
• Differentiable functions
• Discontinuity
• How to differentiate in five steps
• Velocity and acceleration
• Instantaneous velocity
• Instantaneous speed
• Second derivatives
• The Chain Rule
• Differentiation formulas
• The general product rule
• Derivatives of trigonometric functions
• Derivatives of inverse trigonometric functions
• Derivatives of exponential functions
• Derivatives of logarithmic functions