Calculus Series  Concepts and Formulas™
Differentiation Applications 1 (CLSCF2)
This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covered in differentiation applications. 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:
 Implicit functions
 Implicit differentiation
 Differential notation
 Differential formulas
 Related rates
 General guidelines for solving related rates problems
 Geometric interpretation of the derivative
 Secant lines
 Tangents and Normals to the graph of a function
 Slopes of secant and tangent lines
 Difference quotients
 The Nested Interval Theorem
 The Intermediate Value Theorem
 Increasing and Decreasing functions
 Relative maxima and minima
 Absolute maxima and minima
 Critical points
 The Mean Value Theorem
 Rolle's Theorem
 The first derivative test
 The concavity of graphs of functions
 How to test the concavity of a function
 Inflection points
 The second derivative test
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