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AP Calculus BC

Limits and Continuity

 

Symbolab Calculator

Limit Calculator - Symbolab.png

Differentiation: Definition and Basic Derivative Rules

 

Defining Average and Instantaneous Rates of Change at a Point

Derivative Calculator - With Steps!.png
Derivative as a Concept.png
The Derivative & Tangent Line Equations.

Contextual Applications of Differentiation

 

Approximating Values of a Function using Local Linearity and Linearization

Local Linearity.png

Applying Derivatives to Analyze Functions

 

Using the Mean Value Theorem

Mean Value Theorem.png

 

Applying Derivatives to Analyze Functions

Applying Derivatives to Analyze Function

Integration and Accumulation of Change

 

Approximating Areas with Riemann Sums

Integral Calculator - With Steps!.png

Riemann Sums

Riemann Sums.png
Riemann Sums - Trapezoidal Rule.png

 

The Fundamental Theorem of Calculus and Accumulation Functions

The Fundamental Theorem of Calculus and
Definite Integrals on Adjacent Intervals
Functions Defined by Definite Integrals

Differential Equations

 

Sketching Slope Fields

Slope Fields Introduction.png

Applications of Integration

 

Finding the Average Value of a Function on an Interval

Mean Value Theorem Calculator for Integr

Area Between Curves

Area Between Curves.png

Volume with Cross Sections

Volume with Cross Sections.png

Solids of Revolution

Solids of Revolution - Horizontal.png
Solids of Revolution - Vertical.png

The Arc Length of a Smooth, Planar Curve and Distance Traveled

Arc Length Intro.png

Parametric Equations, Polar Coordinates, and Vector-Valued Functions

 

Parametric Equations Differentiation & Integration

Arc Length of a Parametric Curve.png
Parametric Equations Differentiation.png

 

Polar Functions Differentiation & Integration

Polar Functions Differentiation.png
Polar Functions Integration.png

Infinite Sequences and Series

 

Finding Taylor Polynomial Approximations of Functions

Taylor & Maclaurin Series.png
The Archimedes Method of Exhaustion.png
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