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Equations of Tangent Lines

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 information and drawing conclusions. Equations of Tangent Lines. Find the equation of the tangent line to. Equations of Tangent Lines.

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Equations of Tangent Lines

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  1. Equations ofTangent 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.

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