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🇵🇭 Strengthened SHS · Basic Calculus

Basic Calculus

Basic Calculus

The complete DepEd SHS Basic Calculus course — limits and continuity, basic derivative rules, transcendental derivatives, implicit differentiation, applications of derivatives, integration, and integral applications — with free video lessons.

Para sa lahat ng SHS students. Handa ka na ba? — Dr. E

1

Differential Calculus

Limits, derivatives & applications
Unit 1

Limits & Continuity

Calculus · Limits
6 lessons · 6 worksheets
Introduction to Limits
Unit 1 · Lesson 1
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Solving Limits — Direct Substitution & Factoring
Unit 1 · Lesson 2
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Evaluating Limits — Multiple Techniques
Unit 1 · Lesson 3
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One-Sided Limits & Piecewise Functions
Unit 1 · Lesson 4
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Limits at Infinity
Unit 1 · Lesson 5
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L'Hôpital's Rule
Unit 1 · Lesson 6
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Unit 2

Basic Derivative Rules

Calculus · Basic Derivative Rules
6 lessons · 6 worksheets
Definition of Derivative
Unit 2 · Lesson 1
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Power Rule & Constant Rule
Unit 2 · Lesson 2
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Product Rule
Unit 2 · Lesson 3
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Quotient Rule
Unit 2 · Lesson 4
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Chain Rule
Unit 2 · Lesson 5
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Derivatives from a Table of Values
Unit 2 · Lesson 6
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Unit 3

Transcendental Derivatives

Calculus · Transcendental Function Derivatives
5 lessons · 5 worksheets
Derivatives of Trig Functions
Unit 3 · Lesson 1
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Derivatives of Exponential Functions
Unit 3 · Lesson 2
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Derivative of ln and Logarithmic Functions
Unit 3 · Lesson 3
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Derivative of Inverse Trig Functions
Unit 3 · Lesson 4
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Differentiating Transcendental Functions
Unit 3 · Lesson 5
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Unit 4

Implicit Differentiation

Calculus · Implicit Differentiation
3 lessons · 3 worksheets
Implicit Differentiation
Unit 4 · Lesson 1
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Implicit Differentiation — Trig Functions & 2nd Derivative
Unit 4 · Lesson 2
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Higher-Order Derivatives
Unit 4 · Lesson 3
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Unit 5

Applications of Derivatives

Calculus · Derivative Applications
11 lessons · 11 worksheets
Equation of a Tangent Line
Unit 5 · Lesson 1
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Related Rates — Circles & Balloons
Unit 5 · Lesson 2
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Related Rates — Ladder & Cone
Unit 5 · Lesson 3
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Mean Value Theorem & Rolle's Theorem
Unit 5 · Lesson 4
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Critical Numbers
Unit 5 · Lesson 5
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Extreme Value Theorem
Unit 5 · Lesson 6
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First Derivative Test — Local Extrema
Unit 5 · Lesson 7
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Second Derivative Test — Concavity & Inflection
Unit 5 · Lesson 8
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Analyzing f(x) Using the Graph of f'(x)
Unit 5 · Lesson 9
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Optimization Problems
Unit 5 · Lesson 10
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Velocity, Acceleration & Sign Chart
Unit 5 · Lesson 11
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2

Integral Calculus

Integration & applications
Unit 6

Integration Fundamentals

Calculus · Integration Fundamentals
8 lessons · 8 worksheets
Introduction to Antiderivatives
Unit 6 · Lesson 1
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Antiderivatives of Transcendental Functions
Unit 6 · Lesson 2
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Riemann Sums — Area Under the Curve
Unit 6 · Lesson 3
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Riemann Sums — Distance & Displacement
Unit 6 · Lesson 4
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Definite Integrals
Unit 6 · Lesson 5
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Fundamental Theorem of Calculus
Unit 6 · Lesson 6
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Net Change Applications
Unit 6 · Lesson 7
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U-Substitution
Unit 6 · Lesson 8
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Unit 7

Applications of Integration

Calculus · Integral Applications
7 lessons · 7 worksheets
Area Between Curves
Unit 7 · Lesson 1
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Area with Subregions (WRT x and WRT y)
Unit 7 · Lesson 2
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Volume — Disk Method
Unit 7 · Lesson 3
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Volume — Washer Method
Unit 7 · Lesson 4
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Volume — Cross Sections
Unit 7 · Lesson 5
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Average Value of a Function
Unit 7 · Lesson 6
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Slope Fields & Separable Differential Equations
Unit 7 · Lesson 7
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