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Adam Tart reviews Stuffed Sheets
Stuffed Sheets are the most thorough compilation of math I have ever seen in such a small and manageable format... more

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

Related Stuffed Sheets:
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Algebra Series:
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Graphical Functions 2 - Symmetries, Intercepts, Zeros and Slopes (ALG-CF10)
Graphical Fundamentals 3 - Maxima and Minima, Lines and Translations
Approximations of Real Polynomial Functions, Rational Functions 1 (ALG-CF26)
Inverse and Radical Functions, Exponential Functions 1 (ALG-CF29)
Exponential Functions 2, Logarithmic Functions (ALG-CF30)
The Binomial Theorem, Mathematical Induction (ALG-CF33)
Trigonometry Series:
Trigonometric Functions and Applications (TRG-CF2)
Periodicity and Trigonometric Graphs (TRG-CF3)
Inverse Trigonometric Functions, Verifying Identities (TRG-CF4)
Calculus Series:
Applications of Differentiation 2 (CLS-CF2)
Table of Derivatives and Integrals with Selected Special Functions (CLS-EB-R3)

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Last Update: 08/25/14