CalculusThis title in the Homework Helpers series tackles the most advanced mathematical course in most high schools: Calculus. The concepts are explained in everyday language before the examples are worked. Good habits, such as checking your answers after every problem, are reinforced. There are practice problems throughout the book, and the answers to all of the practice problems are included. The problems are solved clearly and systematically, with stepbystep instructions provided. Particular attention is placed on topics that students traditionally struggle with the most. While this book could be used to supplement a standard calculus textbook, it could also be used by college students or adult learners to refresh longforgotten concepts and skills. Homework Helpers: Calculus is a straightforward and understandable introduction to differential calculus and its applications. It covers all of the topics in a typical Calculus class, including:

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Contents
Preface  9 
Elementary Functions  25 
Exponential and Logarithmic Functions  47 
Trigonometric Functions  65 
Limits  79 
Continuity  99 
The Derivative  113 
Rules For Differentiation  135 
The Chain Rule  167 
Applications of the Derivative  187 
Further Applications of the Derivative  203 
Graphical Analysis Using the First Derivative  221 
Graphical Analysis Using the Second Derivative  233 
Integration  251 
279  
About the Author  285 
Common terms and phrases
absolute minimum algebraic analyze angle antiderivative chain rule changes sign constant cosine functions cotangent function decreasing denominator difference quotient Differentiate the following discontinuity domain evaluate the function evaluate the limit exponential function Extreme Value Theorem factor find the derivative Find the equation following functions function f(x function is increasing graph off(x horizontal asymptote horizontal tangent line hyperbolic increasing concave independent variable inequality inflection points integrand Intermediate Value Theorem interval inverse function involves L’Hopital’s Rule line tangent linear function local maximum logarithmic function maximum negative notation odd function parabola piecewisedefined function pointslope formula polynomial positive power functions problems product rule quadratic function quotient rule rate of change rational function real numbers regions Review secant line second derivative shown in Figure sign chart simplify sine and cosine sine function Solution symmetry take the derivative tangent function trigonometric functions unit circle velocity vertical asymptotes whenx write xintercepts zeros θθθθθ