Calculus from Graphical, Numerical, and Symbolic Points of View, Volume 1This flexible series offers instructors a true balance of traditional and conceptual approaches to calculus for math, science, and engineering majors. The Second Edition continues to focus on conceptual understanding as its primary goal and combines a variety of approaches and viewpoints to help students achieve this understanding. In addition to providing a readable tone that appeals to students and supports independent work, the authors present a balance of traditional theorems and proofs along with conceptually driven examples and exercises featuring graphical, numerical, and symbolic points of view. In addition, the text offers a wealth of diverse, well-graded exercises, including some more challenging problems. |
Contents
THE GRAPHICAL VIEW | 1 |
THE SYMBOLIC VIEW | 81 |
NEW DERIVATIVES FROM OLD | 159 |
Copyright | |
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Common terms and phrases
Af(x algebraic antiderivative antidifferentiation approximating sums arcsin axes calculus chain rule concave continuous function decreasing defined definition derivative difference quotient distance estimate EXAMPLE Explain exponential functions expression f-graph fact Figure Find an equation func function f ƒ and g graph of ƒ graphical HINT horizontal idea increasing inflection point inputs integral interval inverse Justify your answer l'Hôpital's rule Let f Let f(x lim f(x lim h→0 line tangent linear function local maximum logarithm function mathematical maximum meters midpoint minimum point minimum value Newton's method notation parabola parametric curve Plot polynomial problem properties quadratic quotient quotient rule rate of change real numbers result roots secant line Section shown shows sine and cosine slope field solution curves solve stationary points Suppose that ƒ symbolic tangent line tion trigonometric functions value of f velocity zooming