Skip to content

Diagram and MicroSim Details

Total Visual Elements: 124 Diagrams: 2 MicroSims: 118

Chapter 1: Foundations Of Calculus

Total elements: 13

Asymptote Analyzer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Medium

Coordinate System Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Medium

Domain and Range Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Exponential and Logarithm Relationship

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Function Composition Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

Interactive Unit Circle

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Inverse Function Reflector

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Piecewise Function Builder

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Polynomial Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Medium

Transformation Playground

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 13
  • Difficulty: Hard

Trig Graph Transformer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Trig Identity Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Medium

Vertical Line Test Interactive

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Chapter 2: Understanding Limits

Total elements: 4

Direct Substitution Decision Tree

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Limit Laws Practice

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Limit Visualization with Hole

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

One-Sided Limits Comparison

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

Chapter 3: Evaluating Limits

Total elements: 4

Factoring Technique Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Limits from Graphs Practice

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

Sin x Over x Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Squeeze Theorem Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Chapter 4: Continuity

Total elements: 4

Discontinuity Classification

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Intermediate Value Theorem Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Piecewise Continuity Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Three Conditions Visualized

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Chapter 5: Asymptotes And End Behavior

Total elements: 4

All Three Asymptote Types

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 13
  • Difficulty: Hard

End Behavior Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 12
  • Difficulty: Hard

Growth Rate Comparison

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Very Hard

Vertical Asymptote Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Chapter 6: Derivative Concept

Total elements: 5

Average Rate of Change Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 4
  • Difficulty: Hard

Derivative Interpretation Selector

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

Function and Derivative Side by Side

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Secant Lines Approaching Tangent Line

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

Tangent Line Calculator

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Chapter 7: Differentiability

Total elements: 6

Derivative from Graph Estimator

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 4
  • Difficulty: Medium

Differentiability Checker

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Differentiability vs. Continuity Venn Diagram

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Medium
  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Very Hard

Local Linearity Zoom

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

One-Sided Derivatives Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Chapter 8: Basic Derivative Rules

Total elements: 4

Power Rule Pattern Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Product Rule Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Rule Selection Decision Tree

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Medium

Term-by-Term Differentiation

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Chapter 9: Product Quotient Transcendental Derivatives

Total elements: 4

Multi-Rule Derivative Builder

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Medium

Trig Derivative Cycle

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Trig Derivatives Reference Card

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 4
  • Difficulty: Hard

e^x Self-Derivative Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Hard

Chapter 10: Chain Rule

Total elements: 3

Chain Rule Step-Through

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Medium

Composite Function Identifier

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Medium

Nested Chain Rule Unwrapper

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Chapter 11: Implicit Differentiation

Total elements: 4

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Hard

Implicit Differentiation Step-by-Step

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Inverse Function Derivative Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Tangent Line Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Chapter 12: Inverse Function Derivatives

Total elements: 4

Graphical Inverse Derivatives

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Inverse Trig Derivatives Practice

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Medium

Inverse Trig Domain Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Medium

Logarithmic Differentiation Step-by-Step

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Chapter 13: Higher Order Derivatives And Motion

Total elements: 4

Direction and Speed Analyzer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 4
  • Difficulty: Hard

Position-Velocity-Acceleration Relationship

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Second Derivative Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Speeding Up/Slowing Down Analyzer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Hard

Total elements: 10

Balloon Inflation Simulator

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Conical Tank Draining

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Ladder Problem Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Linear Approximation Error Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Marginal Cost Analyzer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Hard
  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Shadow Problem Similar Triangles

  • Type: Unknown
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Two Moving Objects Distance

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Zoom to Linear

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Medium

dy vs Delta y Comparison

  • Type: Unknown
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Chapter 15: Lhospitals Rule And Applications

Total elements: 4

L'Hospital's Rule Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Very Hard

Marginal Analysis Calculator

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Rate Interpretation Dashboard

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Medium

Zero Times Infinity Converter

  • Type: Unknown
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Chapter 16: Mean Value Theorem And Extrema

Total elements: 6

Candidates Test Calculator

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Critical Point Finder

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

EVT Conditions Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Global vs Local Extrema Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Hard

Mean Value Theorem Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Rolle's Theorem Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Chapter 17: Derivative Tests And Concavity

Total elements: 5

Closed Interval Method Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Complete Curve Analysis Dashboard

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Concavity Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

First vs Second Derivative Test Comparison

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

Sign Chart Analysis Tool

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Chapter 18: Curve Sketching

Total elements: 6

Asymptote Behavior Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Complete Curve Sketch MicroSim

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

First and Second Derivative Tests Comparison

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Very Hard

Information Flow Chart

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 1
  • Difficulty: Easy

Sketch from Derivative Info MicroSim

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Three Connected Graphs Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Chapter 19: Optimization

Total elements: 7

Box Problem Interactive

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Very Hard

Can Optimizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Closest Point Finder

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Fencing Problem Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Optimization Problem Setup Flowchart

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 1
  • Difficulty: Medium

Profit Optimizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium

Verification Methods Comparison

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Chapter 20: Basic Antiderivatives

Total elements: 4

Family of Antiderivatives

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Medium

Integration Verification Checker

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

Polynomial Integration Step-by-Step

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Power Rule Reversal

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Hard

Chapter 21: Transcendental Integrals

Total elements: 5

Exponential Integrals Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 11
  • Difficulty: Hard

Inverse Trig Integral Matcher

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Medium

The Natural Log as Area

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Very Hard

Transcendental Integration Practice

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 4
  • Difficulty: Medium

Trigonometric Integral Reference

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Medium

Chapter 22: Riemann Sums And Ftc

Total elements: 8

Accumulation Function Explorer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

FTC Connection Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

FTC Part 1 Derivative Calculator

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 10
  • Difficulty: Hard

FTC Part 2 Step-by-Step Evaluator

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Four Riemann Sum Methods Comparison

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 8
  • Difficulty: Hard

Left vs Right Riemann Sums

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Very Hard

Net Signed Area Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Sigma Notation Visualizer

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Chapter 23: Integral Properties And Techniques

Total elements: 6

Additivity Property Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Hard

Average Value Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard

Changing Bounds in u-Substitution

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Very Hard

Even and Odd Function Symmetry

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Hard

Integration Strategy Flowchart

  • Type: Unknown
  • Bloom's Taxonomy: Not specified
  • UI Elements: 1
  • Difficulty: Medium

u-Substitution Process

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Hard