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AP Calculus AB Topics

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video
Limits & Continuity
Finding limits from graphs
Limit laws
Finding limits algebraically - direct substitution
Finding limits algebraically - when direct substitution is not possible
Squeeze theorem
l'Hospital's rule
Infinite limits - vertical asymptotes
Continuity
Intermediate value theorem
video
Derivatives
Definition of derivative
Estimating derivatives from a table
Power rule
Chain rule
Derivative of trigonometric functions
Derivative of exponential functions
Derivative of logarithmic functions
Product rule
Quotient rule
Derivative of inverse trigonometric functions
Implicit differentiation
Higher order derivatives
video
Derivative Applications
Slope and equation of tangent line
Critical number and maximum and minimum values
Curve sketching
Mean value theorem
Rectilinear motion: Derivative
Related rates
Optimization
video
Integrals
Antiderivatives
Riemann sum
Definite integral
Fundamental theorem of calculus
video
Integration techniques
U-Substitution
Integration using trigonometric identities
Trigonometric substitution
video
Integral Applications
Average value of a function
Areas between curves
Volumes of solids with known cross-sections
Volumes of solids of revolution - Disc method
Volumes of solids of revolution - Shell method
video
Differential Equations
Introduction to differential equations
Separable equations
Modelling differential equations
Slope fields

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