Slope & Tangent Lines of Parametric Curves | Calculus 2 Lesson 40 - JK Math

Описание: How to Find Slope & Tangent Lines For Parametric Curves (Calculus 2 Lesson 40)

In this video we learn about how to find slope, an equation of a tangent line, and points for vertical and horizontal tangent lines of parametric curves (plane curves) using parametric derivatives.

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This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 Slope & Tangent Lines of Parametric Curves
3:19 Example - Tangent Line at t=0 for x=t^2+5t+4, y=4t
8:37 Example - Tangent Line at t=0 for x=2sin(t), y=-2cos(t)
14:12 Horizontal & Vertical Tangent Lines
16:19 Example - H & V Tangent Lines for x=t^2, y=t^3-3t
22:47 Example - H & V Tangent Lines for x=t+1, y=t^2+4t
27:28 Outro


📝 Examples Video:    • Slope & Tangent Lines of Parametric Curves...  

⏩ Next Lesson:    • Concavity of Parametric Curves | Calculus ...  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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