Download presentation
Presentation is loading. Please wait.
1
Equations of Tangent Lines
2
Objective To use the derivative to find an equation of a tangent line to a graph at a point. TS: Explicitly assessing information and drawing conclusions.
3
Equations of Tangent Lines
Find the equation of the tangent line to
4
Equations of Tangent Lines
5
Equations of Tangent Lines
Find the equation of the tangent line to Slope of f(x) at any x value Slope of the tangent line at (7, 15)
6
Equations of Tangent Lines
We now have the slope and a point. We want the equation of the line with slope of 9 and going through (7,15).
7
Equations of Tangent Lines
Find the equation of the tangent line to
8
Equations of Tangent Lines
9
Equations of Tangent Lines
10
Equations of Tangent Lines
Find the equation of the tangent line to Slope of f(x) at any x value Slope of the tangent line at x = 4
11
Equations of Tangent Lines
We now have the slope and the x-coordinate of a point. We first need to get the y-coor, then we will have both the slope and the point for our line.
12
Conclusion The derivative is a formula used to find the slope of the tangent line to a function. To find the slope of the tangent line to a function, first, find the derivative and, second, plug the corresponding x-value into the derivative. To write an equation for the tangent line, use the derivative value (the slope), and the corresponding point on the function.
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.