Calculus Series  Concepts and Formulas™
Applications of Differentiation 2 (CLSCF3)
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:
 General guidelines for solving maxima and minima problems
 Tangent line approximations to the graph of a function
 Differential approximations to the graph of a function
 Proportional and percentage errors
 Newton's method of approximating zeros of a function
 How to use Newton's method to estimate the point(s) of intersection of two curves
 Conditions under which Newton's method will fail
 Inverse functions
 Derivatives of inverse functions
 The natural logarithm function, exp(x) and derivatives
 Logarithmic differentiation
 Exponential growth and decay
 Basic differential equations
 Indeterminate forms
 L'Hôpital's rule
 Hyperbolic functions
 Derivatives of hyperbolic functions
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