tangent lines powerpoint
TRANSCRIPT
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By: Zach HuyberPeriod 4
AP Calculus
Tangent Lines
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What is a Tangent Line?
• The tangent line to a curve at a given point is the straight line that "just touches" the curve at that point
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Tangent line compared to Secant Line
• A Tangent line touches the curve at just one point unlike a secant line which touches the graph at two points
• The slope of a tangent line is a instantaneous slope at one point and a secant lines slope is a approximation or sort of a line of best fit.
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Why do we need Tangent lines?
• We use tangent lines to find the slope of a graph at one particular point in order to get that points instantaneous velocity or acceleration.
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Vertical Tangent Line
• A vertical tangent line is a line with a infinite or undefined slope, therefore this is an indication of a point that is not differentiable
Not Differentiable
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How to Find a Tangent Line at a given point
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Example #1
For work and answers refer to PowerPoint problems explained document on powerpoint page
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Example #2
For work and answers refer to PowerPoint problems explained document on powerpoint page
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Example #3
For work and answers refer to PowerPoint problems explained document on powerpoint page
![Page 10: Tangent lines PowerPoint](https://reader035.vdocuments.us/reader035/viewer/2022081504/5570d26ad8b42a1d358b554e/html5/thumbnails/10.jpg)
Example #4
For work and answers refer to PowerPoint problems explained document on powerpoint page
![Page 11: Tangent lines PowerPoint](https://reader035.vdocuments.us/reader035/viewer/2022081504/5570d26ad8b42a1d358b554e/html5/thumbnails/11.jpg)
Example #5
For work and answers refer to PowerPoint problems explained document on powerpoint page
![Page 12: Tangent lines PowerPoint](https://reader035.vdocuments.us/reader035/viewer/2022081504/5570d26ad8b42a1d358b554e/html5/thumbnails/12.jpg)
Good LuckOWN IT!!!!!