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# Tangent lines PowerPoint

## on Jun 08, 2010

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## Tangent lines PowerPointPresentation Transcript

• By: Zach Huyber
Period 4
AP Calculus
Tangent Lines
• 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
• 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.
• 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.
• 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
• How to Find a Tangent Line at a given point
• Example #1
For work and answers refer to PowerPoint problems explained document on powerpoint page
• Example #2
For work and answers refer to PowerPoint problems explained document on powerpoint page
• Example #3
For work and answers refer to PowerPoint problems explained document on powerpoint page
• Example #4
For work and answers refer to PowerPoint problems explained document on powerpoint page
• Example #5
For work and answers refer to PowerPoint problems explained document on powerpoint page
• Good Luck
OWN IT!!!!!