Upload
zackomack
View
3.472
Download
1
Tags:
Embed Size (px)
By: Zach HuyberPeriod 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 LuckOWN IT!!!!!