AP Calculus BC Flashcards

Master AP Calculus BC concepts with interactive flashcards

Revise essential AP Calculus BC topics on-the-go with our interactive flashcards. These handy study tools allow you to quickly review definitions, theorems, and formulas, making it easier to retain critical information for your exam!

Derivatives

19 decks

Applications of Derivatives

Euler's Method and L'Hopital's Rule

Velocity, Speed, Acceleration

Computation of Derivatives

Chain Rule and Implicit Differentiation

Derivative Rules for Sums, Products, and Quotients

Derivatives of Parametric, Polar, and Vector Functions

Rules of Basic Functions: Power, Exponential Rule, Logarithmic, Trigonometric, and Inverse Trigonometric

Derivative as a Function

Equations Involving Derivatives

Finding Maximums

Graphs of f and f'

The Mean Value Theorem

Derivative at a Point

Derivative Defined as Limit of Difference Quotient

Instantaneous Rate of Change, Average Rate of Change, and Linear Approximation

Second Derivatives

Concavity

Inflection Points

Integrals

14 decks

Application of Integrals

Initial Conditions

Length of Curve, Distance traveled, Accumulated Change, Motion of Curve

Modeling by Solving Separable Differential Equations

Volume of Cross Sections and Area of Region

Fundamental Theorem of Calculus and Techniques of Antidifferentiation

Fundamental Theorem of Calculus with Definite Integrals

Improper Integrals

Substitution of Variables (by parts and simple partial fractions)

Numerical Approximations to Definite Integrals

Riemann Sum: Left Evaluation

Riemann Sum: Midpoint Evaluation

Riemann Sum: Right Evaluation

Trapezoidal Sums

Functions, Graphs, and Limits

12 decks

Asymptotic and Unbounded Behavior

Comparing Relative Magnitudes (exponential growth,logarithmic growth, polynomial growth)

Identifying Asymptotes Graphically

Continuity

Continuity in Terms of Limits

Limits

Calculating Limits with Algebra (including one-sided limits)

Estimating Limits from Graphs and Tables

Parametric, Polar, and Vector Functions

Parametric Form

Polar Form

Vector Form

Polynomial Approximations and Series

11 decks

Series of Constants

Alternating Series with Error Bound

Geometric Series

P-Series

Ratio Test and Comparing Series

Taylor Series

Lagrange Error Bound for Taylor Polynomials

Maclaurin Series

Maclaurin Series for exponential and trigonometric functions

Radius and Interval of Convergence of Power Series

Taylor Polynomial Approximation

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