217
Index
dy
dx
notation, 117
Algebraic preservation of continuity, 199
Algebraic properties of differentials, 120
Algebraic properties of limits, 193
Algebraic properties of logarithms, 53
Algebraic rules for powers, 50
Applications of the derivative, 133
Asymptote
diagonal, 165
horizontal, 133, 140
rules for finding, 140
vertical, 133, 140
Cancellation of differentials, 120
Chain rule, 109, 117
Chart
sign, 150
Classifying critical points, 172
Closure of the set of polynomials, 45
Coefficient of a polynomial, 43
Complex numbers, 69
Composition
of continuous functions, 200
of functions, 109
Computing inverse functions, 98
Concave
down, 147
up, 147
Concavity, 147
and the second derivative, 152
Continuity, 189
algebraic preservation of, 199
at a point, 196
on an interval, 198
continuous, 77
Continuous function
composition of, 200
list, 198
Cosecant
derivative, 96
function, 63
Cosine
derivative, 96
function, 63
Cosines
law of, 66
Cotangent
derivative, 96
function, 63
Critical point, 147
asymptotes, 150
Critical points
for optimization, 172
Critical value, 147
Curve
decreasing, 147
increasing, 147
Curve sketching, 133
Curve sketching with a full report, 159
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