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Warm-Up: November 7, 2012

Warm-Up: November 7, 2012. Find the derivative of. Homework Questions?. Implicit Differentiation. Section 3.7. Power Rule (again). Works for rational exponents! Works for radicals! Change from radical form to rational exponent. Implicit Differentiation.

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Warm-Up: November 7, 2012

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  1. Warm-Up: November 7, 2012 • Find the derivative of

  2. Homework Questions?

  3. Implicit Differentiation Section 3.7

  4. Power Rule (again) • Works for rational exponents! • Works for radicals! • Change from radical form to rational exponent.

  5. Implicit Differentiation • Used when it is not possible or not practical to solve for y • Differentiate both sides, treating y as a function of x • Solve for dy/dx

  6. Example 1 • Find dy/dx

  7. You-Try #1 • Find dy/dx

  8. Assignment • Read Section 3.7 (pages 149-154) • Page 155 Exercises 1-19 odd

  9. Warm-Up: November 8, 2012 • Find dy/dx

  10. Homework Questions?

  11. Example 2 Find the slope of the circle at the indicated point.

  12. You-Try #2 Find the slope of the circle at the indicated point.

  13. Example 3 • Find where the slope of the curve is defined.

  14. You-Try #3 • Find where the slope of the curve is defined.

  15. Example 4 • Find the equation of the line (a) tangent and (b) normal to the curve at the given point.

  16. You-Try #4 • Find the equation of the line (a) tangent and (b) normal to the curve at the given point.

  17. Assignment • Read Section 3.7 (pages 149-154) • Page 155 Exercises 21-49 odd • Read Section 3.8 (pages 157-162)

  18. Warm-Up: November 9, 2012 • Find the equation of the line tangent to at (1, -2)

  19. Homework Questions

  20. Quiz Time! • You may use your graphing calculator. • Any talking while any quiz is out will result in a zero. • 15 minute time limit • After you turn in your quiz, finish any remaining problems on your homework due Tuesday and read Section 3.8.

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