Flashcards - AP Calc AB



Prerequisite Geometry, Trig, & Algebraic Formulas 

Areas of Regular Polygons - square, triangle, rectangle, circle, semi-circle (half & quarter), trapezoids

Volume - cube, cylinder, cone, rectangular prism, sphere

Basic trig identities - reciprocal, quotient, and pythagorean

Surface area of common 3D shapes - rectangular prism, cylinder, cone, sphere

Parent equation of circle & semi-circle functions

Height of an equilateral triangle



How does this relate to 30-60-90 triangles?

Pythagorean Theorem

Distance Formula

Quadratic Formula 

Point slope form


Average rate of change










Theorems (rules & related definitions)


Mean Value Theorem

Extreme Value Theorem

Squeeze Theorem

Candidate’s Test

Intermediate Value Theorem

First Derivative Test

L’Hopital’s Rule

Second Derivative Test

Indeterminate form 

Fundamental Theorem of Calculus (Pt 1 and Pt 2)



Derivative Vocabulary 

Secant Line

Local Linearity/Tangent line approximation

Tangent Line

Concavity

Definition of the Derivative (two forms)

Critical Point

Relationship between position, velocity, acceleration

Point of Inflection




Limit Vocabulary

Removable discontinuity 

Jump discontinuity

Essential/Asymptotic/Infinite discontinuity

Continuity (limit definition)

Differentiability (limit definition)

Not differentiable (visuals)




Flashcard Derivatives

⭐ Basic Trig derivatives

  • sine/cosine/tangent/cotangent/secant/ cosecant



Do one flashcard for each derivative

⭐ Inverse Trig derivatives

  • Arcsine, arccosine, arctangent, arccotangent, arcsecant, arccosecant



Do one flashcard for each derivative


⭐ Logarithmic Derivatives 

  • logax, lnx, ax, ex



Do one flashcard for each derivative

Product Rule

Quotient Rule

Chain rule

Derivative of an Inverse formula



Integral Vocabulary & Formulas

Include definition & a visual example

Definite Integral

Indefinite Integral

LRAM, RRAM, MRAM

Average Value formula






Flashcard Integrals

⭐ Basic Trig integrals


⭐ Inverse Trig integrals


⭐ These flashcards are also a mastery strand.

⭐ Logarithmic & exponential integrals





Integral Applications Vocabulary & Formulas

Area between curves (in terms of x)

Area between curves (in terms of y)

Volume - discs (in terms of x)

Volumes - discs (in terms of y)

Volume - washer (in terms of x)

Volume - washer (in terms of y)

Volume of Cross sections