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Review- 7 Implicit Differentiation

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Presentation on theme: "Review- 7 Implicit Differentiation"— Presentation transcript:

1 Review- 7 Implicit Differentiation
Derivatives This template can be used as a starter file for presenting training materials in a group setting. Sections Right-click on a slide to add sections. Sections can help to organize your slides or facilitate collaboration between multiple authors. Notes Use the Notes section for delivery notes or to provide additional details for the audience. View these notes in Presentation View during your presentation. Keep in mind the font size (important for accessibility, visibility, videotaping, and online production) Coordinated colors Pay particular attention to the graphs, charts, and text boxes. Consider that attendees will print in black and white or grayscale. Run a test print to make sure your colors work when printed in pure black and white and grayscale. Graphics, tables, and graphs Keep it simple: If possible, use consistent, non-distracting styles and colors. Label all graphs and tables. Review- 7 Implicit Differentiation

2 Steps Differentiate implicitly Collect all dy/dx terms on the left
Collect everything else on the right Factor out dy/dx Solve for dy/dx

3 1) Find the derivative of
3

4 2) solve 4

5 Find the slope of the tangent line (parallel to the curve and has the same slope) through the point ( 2, 1 ) 5

6 Implicit Trig differentiation

7 4) differentiate 7

8 5) differentiate 8

9 6) Find the equation of the normal line ( perpendicular to the curve and has opposite reciprocal slopes) through the point (1, 1) 9

10 Home Work Use a section header for each of the topics, so there is a clear transition to the audience. Page 146 # 2,4,6,9,10,11,13,21,24,28,and 53


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