Calculus with Analytic GeometryFunctions and limits; The derivative; Applications of the derivative; The integral; Applications of the integral; Transcedental functions; Techniques of integration; Indeterminate forms and improper integrals; Numerical methods, approximations; Infinite series; Conics and polar coordinates; Geometry in the plane, vectors; Geometry in space, vectors; The derivative in n-space; The integral in n-space; Vector calculus; Differential equations. |
Contents
Preliminaries | 1 |
Functions and Limits | 36 |
The Derivative | 86 |
Copyright | |
17 other sections not shown
Common terms and phrases
angle antiderivative approximate bounded C₁ C₂ calculate Cartesian Chain Rule Chapter Review Problems circle constant continuous converges corresponding cos² cosh curve cylinder definite integral derivative differential equation distance diverges domain dx dy dy dx ellipse Evaluate EXAMPLE 3 Find False Find the area Find the equation Find the volume formula function f given Green's Theorem Hint hyperbola intersection interval iterated integral l'Hôpital's Rule length lim f(x lim h→0 limit maximum Mean Value Theorem minimum value obtain parabola parametric equations perpendicular plane polynomial PROBLEM SET Proof radians radius rational number real numbers region result revolved Riemann sum sec² Section Show shown in Figure sin² sinh Sketch the graph slope solid solve Suppose surface tangent line True variable vector velocity vertical x-axis x₁ xy-plane y-axis zero