Calculus - Preliminary Edition, Student Solutions ManualDesigned to promote an actual understanding of calculus as well as a real sense of how math is used in our technological age. At every stage it stresses the meaning in practical, graphical or numerical terms of the symbols students are using and the main concepts of calculus are described in plain English. Differential equations, exponential functions, the definite integral and its applications are among the topics covered. Includes problem sets, many of which are open-ended. |
Common terms and phrases
2x dx antiderivative approximation arcsin arctan average C₁ C₂ calculate characteristic equation concave constant converges cos² critical points curve decimal place decreasing density difference quotient distance dy dx estimate F(x+h formula function gives global maximum graph of ƒ height horizontal improper integral inflection points integral diverges integral table interval left sum Let f(x lim f(x lim h→0 ln x dx local minimum looks minimized minimum negative Note population positive Problem radius rate of change rectangle Riemann sum right-hand sums second derivative test Simpson's rule sin(x² sin² sint slice slope Solutions solve subintervals substitution tangent line Taylor polynomial trapezoid trapezoid rule underestimate velocity volume x-axis zero π π يع