Calculus of a Single Variable
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Preparation for Calculus
Limits and Their Properties
Applications of Differentiation
Logarithmic Exponential and Other Transcendental Functions
Applications of Integration
antiderivative approximate arc length arcsin arctan asymptote axis calculus computer algebra system critical numbers curve definite integral determine differential equation domain dy dx ellipse evaluate EXAMPLE Exercises See www.CalcChat.com Explain feet Find the area formula fx dx fx fx fx gx fx x2 fx x3 given graph the function graphing utility horizontal improper integral indeterminate form inverse function lim fx lim x→0 limit linear logarithmic maximum Mean Value Theorem odd-numbered exercises parabola parametric equations polynomial power series Proof PUTNAM EXAM radius rate of change real number rectangle region bounded Relative minimum sec2 secant line Section sequence series converges shown in Figure sin2 sinx Sketch the graph slope field solutions to odd-numbered solve tangent line Test utility to graph variable velocity vertical worked-out solutions WRITING ABOUT CONCEPTS www.CalcChat.com for worked-out x2 dx