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AP Calculus Important Definitions, Theorems, and Tests

Amber Hedgpeth

Created on November 18, 2024

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AP CALCULUS BC

Important Definitions, Theorems, and Tests

Limits and Continuity

Derivatives

Series

Integrals

limit definition of derivative

convergence

reimann sum

Limit laws

nth term test for divergence

trapezoidal sum

differentiation rules

squeeze theorem

integral test for convergence

fundamental theorem of calculus

inverse function differentiation

continuity conditions

mean value theorem for integrals

L'HÔpital's rule

harmonic series

intermediate value theorem

Mean value theorem

p-series

rolle's theorem

limit comparison test

extreme value theorem

alternating series test

ratio test

taylor polynomial

lagrange error bound