600 1,001 Calculus Practice Problems For Dummies
practice, online, 2
practice problems. See specific topics
Pre-Calculus For Dummies (Kuang and Kase), 3
product rule, finding derivatives with, 49, 50–51,
237–242
• Q •
quadratic equations, 10–11, 139–141
quotient rule, finding derivatives with, 49, 51–52,
242–248
• R •
radian measure, 18–19, 166–167
radicals, simplifying, 8–9, 131–133
range
finding from graphs, 13–14, 157–158
finding of a function, 10, 137–138
rates of change. See also derivatives
acceleration and velocity, 85–86, 382–386
related rates problems, 64–66, 283–290
velocity and position, 70–71, 85–86, 318–321,
377–386
rational equations, solving, 11, 144–145
rational inequalities, 12, 145–149
rationalizing substitutions, 119, 570–573
registering for online practice, 2
related rates, 64–66, 283–290
resources, additional, 2–3
Riemann sums
calculating
using left endpoints, 76, 338–340
using midpoints, 77, 343–345
using right endpoints, 76, 340–343
evaluating definite integrals using, 78, 350–353
finding definite integrals from limit and, 78,
348–350
finding expressions for definite integrals with,
77, 346–348
problem types, 75
tips for, 75
right endpoints, calculating Riemann sums with,
76, 340–343
Rolle’s theorem, applying, 69, 311–313
roots, approximating using Newton’s method,
73, 336–338
Ryan, Mark (author)
Calculus For Dummies, 3
• S •
second derivative test, finding local maxima/
minima using, 69, 307–311
simplifying
fractions, 8, 127–131
radicals, 8–9, 131–133
trigonometric expressions, 21–22, 171–173
Simpson’s rule, 124, 592–593
solving. See also finding
optimization problems, 71–72, 321–335
polynomial equations by factoring, 11, 141–142
problems with mean value theorem, 70,
313–316
rational equations, 11, 144–145
trigonometric equations, 22–23, 173–176
trigonometric equations using inverses, 26–27,
182–185
speed, finding, 70–71, 318–321
squeeze theorem, applying, 32–33, 196–198
Sterling, Mary Jane (author)
Trigonometry For Dummies, 3
substitutions
rationalizing, 119, 570–573
trigonometric, 113, 114, 116–117, 537–556
subtracting polynomials, 14–15, 160
• T •
tangent lines
about, 48
finding equations of, 57, 265–266
finding equations of using implicit
differentiation, 61, 274–277
problem types, 55
tips for, 55
trapezoid rule, 124, 591–592
trigonometric equations
solving, 22–23, 173–176
solving using inverses, 26–27, 182–185
trigonometric expressions, simplifying, 21–22,
171–173
trigonometric functions, inverse, 26, 99, 101,
471–481
trigonometric integrals, 113, 114–116, 524–537
trigonometric limits, evaluating, 33, 198–202
trigonometric substitution, 113, 114, 116–117,
537–556
practice, online, 2
practice problems. See specific topics
Pre-Calculus For Dummies (Kuang and Kase), 3
product rule, finding derivatives with, 49, 50–51,
237–242
• Q •
quadratic equations, 10–11, 139–141
quotient rule, finding derivatives with, 49, 51–52,
242–248
• R •
radian measure, 18–19, 166–167
radicals, simplifying, 8–9, 131–133
range
finding from graphs, 13–14, 157–158
finding of a function, 10, 137–138
rates of change. See also derivatives
acceleration and velocity, 85–86, 382–386
related rates problems, 64–66, 283–290
velocity and position, 70–71, 85–86, 318–321,
377–386
rational equations, solving, 11, 144–145
rational inequalities, 12, 145–149
rationalizing substitutions, 119, 570–573
registering for online practice, 2
related rates, 64–66, 283–290
resources, additional, 2–3
Riemann sums
calculating
using left endpoints, 76, 338–340
using midpoints, 77, 343–345
using right endpoints, 76, 340–343
evaluating definite integrals using, 78, 350–353
finding definite integrals from limit and, 78,
348–350
finding expressions for definite integrals with,
77, 346–348
problem types, 75
tips for, 75
right endpoints, calculating Riemann sums with,
76, 340–343
Rolle’s theorem, applying, 69, 311–313
roots, approximating using Newton’s method,
73, 336–338
Ryan, Mark (author)
Calculus For Dummies, 3
• S •
second derivative test, finding local maxima/
minima using, 69, 307–311
simplifying
fractions, 8, 127–131
radicals, 8–9, 131–133
trigonometric expressions, 21–22, 171–173
Simpson’s rule, 124, 592–593
solving. See also finding
optimization problems, 71–72, 321–335
polynomial equations by factoring, 11, 141–142
problems with mean value theorem, 70,
313–316
rational equations, 11, 144–145
trigonometric equations, 22–23, 173–176
trigonometric equations using inverses, 26–27,
182–185
speed, finding, 70–71, 318–321
squeeze theorem, applying, 32–33, 196–198
Sterling, Mary Jane (author)
Trigonometry For Dummies, 3
substitutions
rationalizing, 119, 570–573
trigonometric, 113, 114, 116–117, 537–556
subtracting polynomials, 14–15, 160
• T •
tangent lines
about, 48
finding equations of, 57, 265–266
finding equations of using implicit
differentiation, 61, 274–277
problem types, 55
tips for, 55
trapezoid rule, 124, 591–592
trigonometric equations
solving, 22–23, 173–176
solving using inverses, 26–27, 182–185
trigonometric expressions, simplifying, 21–22,
171–173
trigonometric functions, inverse, 26, 99, 101,
471–481
trigonometric integrals, 113, 114–116, 524–537
trigonometric limits, evaluating, 33, 198–202
trigonometric substitution, 113, 114, 116–117,
537–556