Index
u-substitution, 292
absolute convergence, 492
acceleration, 59
alternating series, 488
alternating series estimation theorem, 491
alternating series test, 490
antiderivative, 213
general, 256, 270
graph, 267
antidifferentiation, 212
arc length, 339, 340
arcsine, 133
area, 334
under velocity function, 209
asymptote, 155
horizontal, 155
vertical, 155
autonomous, 394
average rate of change, 23
average value of a function, 243
average velocity, 2
backward difference, 46
carrying capacity, 439
central difference, 46
chain rule, 122
codomain, 130
composition, 120
concave down, 58
concave up, 58
concavity, 58
conditional convergence, 492
constant multiple rule, 91
continuous, 69
continuous at x = a, 70
converge
sequence, 451
convergence
absolute, 492
conditional, 492
convergent sequence, 451
cosecant, 114
cotangent, 114
critical number, 164
critical point, 164
critical value, 164
cusp, 72
decreasing, 53
definite integral
constant multiple rule, 242
definition, 236
sum rule, 243
density, 355
derivative, 24
arcsine, 135
constant function, 89
cosine, 99
cotangent, 115
definition, 24, 36
exponential function, 90
logarithm, 132
power function, 89
sine, 99
tangent, 115
difference quotient, 45
differentiable, 24, 71
differential equation, 388
autonomous, 394
533