Calculus for the Utterly Confused

Errata Sheet for the first printing

The last paragraph on page 33 should read

The slope of the line between these adjacent points is

The general expression for the slope of this curve at any point x is the limit of this approximate slope as Dx goes to zero. Using the mathematical symbolism of limits, the general expression for the slope of y = x² is

Pg. 52

The specification of the asymptote is incorrect. It is true that as x goes to infinity, the equation looks like y » x. But the graph is close to the origin so it is necessary to obtain the asymptote in this region from long division. Divide x² by x - 1 to get x + x/x - 1. This produces the correct asymptote line y = x + 1. 

Pg. 139

In problem 9-8 in the statement of the problem it should read the ln u = 1.4, rather than 14.

In the last statement of the solution u = 4.05, rather than 5.68.

 Pg. 140 add “In problem 9-11 the differential . . .”

Pg  142

The equation near the bottom of the page should read

dN/N = kdt