Calculus with Analytic Geometry, Volume 2 |
Contents
Functions and Limits | 38 |
The Derivative | 87 |
Applications of the Derivative | 154 |
Copyright | |
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2x dx a₁ angle antiderivative approximate calculate centimeters Chain Rule circle concave constant converges coordinates cosh curve definite integral derivative distance diverges domain dy/dx ellipse Evaluate EXAMPLE 2 Find feet per second Figure 9 Find the area Find the equation Find the volume formula function ƒ ƒ and g given Hint horizontal hyperbola inequality interval inverse l'Hôpital's Rule length Let f(x lim f(x lim h→0 limit local maximum mathematics maximum Mean Value Theorem minimum value obtain odd function parabola plane polynomial positive number PROBLEM SET proof Prove radians radius rational function rational number real numbers region bounded result revolved Riemann sum Section Show shown in Figure sin²x sinh Sketch the graph slope solid Solution Let solve substitution Suppose tangent line tank triangle variable velocity vertical x-axis x₁ y-axis y-intercept