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# Tangent lines

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### Tangent lines

1. 1. By: Zach Huyber<br />Period 4<br />AP Calculus <br />Tangent Lines <br />
2. 2. What is a Tangent Line?<br />The tangent line to a curve at a given point is the straight line that "just touches" the curve at that point<br />
3. 3. Tangent line compared to Secant Line<br />A Tangent line touches the curve at just one point unlike a secant line which touches the graph at two points<br />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. <br />
4. 4. Why do we need Tangent lines?<br />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.<br />
5. 5. Vertical Tangent Line<br />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 <br />Not Differentiable<br />
6. 6. How to Find a Tangent Line at a given point<br />
7. 7. Example #1<br />
8. 8. Example #2<br />
9. 9. Example #3<br />
10. 10. Example #4<br />
11. 11. Example #5<br />
12. 12. Good Luck<br />OWN IT!!!!!<br />