AP Calculus AB Definitions, Theorems, Properties
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46 Terms
definition of a limit function
conditions under which limits do not exist
direct substitution property
properties of limits
limit of a composite function
squeeze theorem
definition of a one-sided limit
definition of continuity
theorem
intermediate value theorem
definition of vertical asymptote
properties of infinite limits
definition of derivative
definition of a tangent line
theorem
fermat’s theorem
critical number
the extreme value theorem
intermediate value theorem
rolle’s theorem
the mean value theorem
increasing/decreasing test
the first derivative test
definition of concavity
concavity test
inflection point
the second derivative test
limits at infinity
horizontal asymptote
linearization, standard linear approximation
antiderivative
theorem
approximating area
summation formulas
area
definition of a definite integral
properties of the definite integrals
comparison properties of the definite integral
theorem
the fundamental theorem of calculus
the mean value theorem for integrals
the second fundamental theorem of calculus
net change theorem
the substitution rule for indefinite integrals
the substitution rule for definite integrals
integrals of symmetric functions
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Flashcards (21)