Presentation is loading. Please wait.

Presentation is loading. Please wait.

Equations of Tangent Lines. Objective  To use the derivative to find an equation of a tangent line to a graph at a point.  TS: Explicitly assessing.

Similar presentations


Presentation on theme: "Equations of Tangent Lines. Objective  To use the derivative to find an equation of a tangent line to a graph at a point.  TS: Explicitly assessing."— Presentation transcript:

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  Find the equation of the tangent line to Slope of the tangent line at (7, 15) Slope of f(x) at any x value

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

10  Find the equation of the tangent line to Slope of the tangent line at x = 4 Slope of f(x) at any x value

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.


Download ppt "Equations of Tangent Lines. Objective  To use the derivative to find an equation of a tangent line to a graph at a point.  TS: Explicitly assessing."

Similar presentations


Ads by Google