#### AD.1: Find the slope of a curve at a point.

Find the slope of a curve at a point, including points at which there are vertical tangents and no tangents.

### Slopes of Tangent Lines via Limits

by Allen Wolmer

Mooculus Calculus Textbook Section 3.1, pp 47-52

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### Slope of Tangent Line Derivative at a Point

by Allen Wolmer

A Youtube video on this topic.

Video duration:  26:57

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### Slopes of Tangent Lines via Limits Exercises

by Allen Wolmer

Mooculus Calculus Textbook Sect 3.1, p 53 (Ans. p 247)

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Slope at a Value Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Horizontal Tangents Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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### Vertical Tangents; Vertical Cusps Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
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