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Calculus

Tangent Lines

Understanding how tangent lines behave near curves and how they give local approximations.
Goal:
Learn how tangents approximate curves locally
3Lessons
6Micro-lessons
Not setDifficulty
Lesson 1

Seeing the Curve Locally

Focusing on what happens near a single point.
Start2 Micro-lessons

Micro lesson 1
Zooming into a Curve
Micro lesson 2
Local vs Global View
Lesson 2

Building the Tangent Idea

Understanding how the tangent line forms.
Start2 Micro-lessons

Micro lesson 1
From Curve to Line
Micro lesson 2
Why the Tangent Touches Once
Lesson 3

Using Tangents to Approximate

Applying tangents to estimate values.
Start2 Micro-lessons

Micro lesson 1
Estimating with Tangents
Micro lesson 2
When Approximation Fails