Calculus

Dr. E's complete calculus video library — limits, derivatives, and integrals, every lesson paired with a free worksheet in English and Filipino 🇵🇭

8units

92lessons

EN · FILbilingual 🇵🇭

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English & Filipino

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8 Units · 92 Lessons

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Unit 1

Limits

All 6 lessons available

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Introduction to Limits

Unit 1 · Lesson 1

Solving Limits — Direct Substitution & Factoring

Unit 1 · Lesson 2

Evaluating Limits — Multiple Techniques

Unit 1 · Lesson 3

One-Sided Limits & Piecewise Functions

Unit 1 · Lesson 4

Limits at Infinity

Unit 1 · Lesson 5

L'Hôpital's Rule

Unit 1 · Lesson 6

Unit 2

Basic Derivative Rules

All 6 lessons available

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Definition of Derivative

Unit 2 · Lesson 1

Power Rule & Constant Rule

Unit 2 · Lesson 2

Unit 2 · Lesson 3

Unit 2 · Lesson 4

Unit 2 · Lesson 5

Derivatives from a Table of Values

Unit 2 · Lesson 6

Unit 3

Transcendental Function Derivatives

All 5 lessons available

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Derivatives of Trig Functions

Unit 3 · Lesson 1

Derivatives of Exponential Functions

Unit 3 · Lesson 2

Derivative of ln and Logarithmic Functions

Unit 3 · Lesson 3

Derivative of Inverse Trig Functions

Unit 3 · Lesson 4

Differentiating Transcendental Functions

Unit 3 · Lesson 5

Unit 4

Implicit Differentiation

All 3 lessons available

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Implicit Differentiation

Unit 4 · Lesson 1

Implicit Differentiation — Trig Functions & 2nd Derivative

Unit 4 · Lesson 2

Higher-Order Derivatives

Unit 4 · Lesson 3

Unit 5

Derivative Applications

All 11 lessons available

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Equation of a Tangent Line

Unit 5 · Lesson 1

Related Rates — Circles & Balloons

Unit 5 · Lesson 2

Related Rates — Ladder & Cone

Unit 5 · Lesson 3

Mean Value Theorem & Rolle's Theorem

Unit 5 · Lesson 4

Critical Numbers

Unit 5 · Lesson 5

Extreme Value Theorem

Unit 5 · Lesson 6

First Derivative Test — Local Extrema

Unit 5 · Lesson 7

Second Derivative Test — Concavity & Inflection

Unit 5 · Lesson 8

Analyzing f(x) Using the Graph of f'(x)

Unit 5 · Lesson 9

Optimization Problems

Unit 5 · Lesson 10

Velocity, Acceleration & Sign Chart

Unit 5 · Lesson 11

Unit 6

Integration Fundamentals

All 8 lessons available

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Introduction to Antiderivatives

Unit 6 · Lesson 1

Antiderivatives of Transcendental Functions

Unit 6 · Lesson 2

Riemann Sums — Area Under the Curve

Unit 6 · Lesson 3

Riemann Sums — Distance & Displacement

Unit 6 · Lesson 4

Definite Integrals

Unit 6 · Lesson 5

Fundamental Theorem of Calculus

Unit 6 · Lesson 6

Net Change Applications

Unit 6 · Lesson 7

Unit 6 · Lesson 8

Unit 7

Integral Applications

All 7 lessons available

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Area Between Curves

Unit 7 · Lesson 1

Area with Subregions (WRT x and WRT y)

Unit 7 · Lesson 2

Volume — Disk Method

Unit 7 · Lesson 3

Volume — Washer Method

Unit 7 · Lesson 4

Volume — Cross Sections

Unit 7 · Lesson 5

Average Value of a Function

Unit 7 · Lesson 6

Slope Fields & Separable Differential Equations

Unit 7 · Lesson 7

Unit 8

AP Calculus AB/BC Exam Prep — FRQ Practice

8 topics · 46 lessons · EN walkthroughs · FIL toggle shows a related concept lesson

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TI-84 & Calculator Strategy

2 lessons

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TI-84 Strategies for the AP FRQ

Unit 8 · Lesson 1

Calculator FRQ Practice — 2004 Q3 (TI-84)

Unit 8 · Lesson 2

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Riemann Sums

6 lessons

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Riemann Sums FRQ — 2013 Q3 (Coffeemaker)

Unit 8 · Lesson 3

Riemann Sums FRQ — 2010 Form B Q3 (Pool)

Unit 8 · Lesson 4

Riemann Sums FRQ Practice — 1989 Q3

Unit 8 · Lesson 5

Riemann Sums FRQ Practice — 1999 Q3

Unit 8 · Lesson 6

Riemann Sums FRQ Practice — 2002 Form B Q3

Unit 8 · Lesson 7

Riemann Sums FRQ Practice — 2014 Q3

Unit 8 · Lesson 8

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Rates of Change & Accumulation

17 lessons

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Rate Problems FRQ — 2004 Q1 (Traffic Flow)

Unit 8 · Lesson 9

Rate Problems FRQ — 2003 Form B Q2 (Oil Tank)

Unit 8 · Lesson 10

Rate Problems FRQ — 2005 Form B Q2 (Water Tank, Part 1)

Unit 8 · Lesson 11

Rate Problems FRQ — 2005 Form B Q2 (Water Tank, Part 2)

Unit 8 · Lesson 12

Rate Problems FRQ — 2005 Q2 (Sandy Point Beach)

Unit 8 · Lesson 13

Rate Problems FRQ — 2002 Q2 (Amusement Park)

Unit 8 · Lesson 14

Rate Problems FRQ — 2004 Form B Q2 (Growing Mosquito)

Unit 8 · Lesson 15

Rate Problems FRQ — 2017 Q2 (Banana Store)

Unit 8 · Lesson 16

Rate Problems FRQ Practice — 2000 Q1

Unit 8 · Lesson 17

Rate Problems FRQ Practice — 2003 Q1

Unit 8 · Lesson 18

Rate Problems FRQ Practice — 2004 Form B Q1

Unit 8 · Lesson 19

Rate Problems FRQ Practice — 2005 Form B Q1

Unit 8 · Lesson 20

Rate Problems FRQ Practice — 2006 Q1

Unit 8 · Lesson 21

Rate Problems FRQ Practice — 2006 Q2

Unit 8 · Lesson 22

Rate Problems FRQ Practice — 2007 Q1

Unit 8 · Lesson 23

Rate Problems FRQ Practice — 2008 Form B Q1

Unit 8 · Lesson 24

Rate Problems FRQ Practice — 2014 Q2

Unit 8 · Lesson 25

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Motion — Particle on a Line

1 lesson

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Motion FRQ — 2003 Q2 (Particle on a Line)

Unit 8 · Lesson 26

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Area & Volume

7 lessons

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Area & Volume FRQ — 2001 Q6

Unit 8 · Lesson 27

Area & Volume FRQ Practice — 1999 Q2

Unit 8 · Lesson 28

Area & Volume FRQ Practice — 2000 Q4

Unit 8 · Lesson 29

Area & Volume FRQ Practice — 2004 Q4

Unit 8 · Lesson 30

Area & Volume FRQ Practice — 2007 Q4

Unit 8 · Lesson 31

Area & Volume FRQ Practice — 2011 Q4

Unit 8 · Lesson 32

Area & Volume FRQ Practice — 2013 Q4

Unit 8 · Lesson 33

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Tangent Lines & Linearization

1 lesson

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Tangent Lines FRQ — 2000 Q5

Unit 8 · Lesson 34

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Related Rates & Implicit Differentiation

6 lessons

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Related Rates FRQ Practice — 2004 Form B Q5

Unit 8 · Lesson 35

Related Rates FRQ Practice — 2005 Form B Q5 (Part 1)

Unit 8 · Lesson 36

Related Rates FRQ Practice — 2005 Form B Q5 (Part 2)

Unit 8 · Lesson 37

Related Rates FRQ Practice — 2006 Q5

Unit 8 · Lesson 38

Related Rates FRQ Practice — 2008 Q5

Unit 8 · Lesson 39

Related Rates FRQ Practice — 2010 Q5

Unit 8 · Lesson 40

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Differential Equations & Slope Fields

6 lessons

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Differential Equations FRQ — 2017 Q4 (Hot Potato)

Unit 8 · Lesson 41

Differential Equations FRQ Practice — 2004 Q6

Unit 8 · Lesson 42

Differential Equations FRQ Practice — 2005 Q6

Unit 8 · Lesson 43

Differential Equations FRQ Practice — 2008 Q6

Unit 8 · Lesson 44

Differential Equations FRQ Practice — 2015 Q6

Unit 8 · Lesson 45

Differential Equations FRQ Practice — 2016 Q6

Unit 8 · Lesson 46

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