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

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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."— 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.

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)

6 Equations of Tangent Lines

7  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

11 Equations of Tangent Lines

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.


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