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Warm-Up: November 13, 2012

Warm-Up: November 13, 2012. Find dy / dx. Homework Questions?. Quiz Questions?. Derivatives of Inverse Trigonometric Functions. Section 3.8. Derivatives of Inverse Functions. To find an inverse, we switch x and y (a, f(a))  (f(a), a). Derivatives of Inverse Functions.

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Warm-Up: November 13, 2012

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  1. Warm-Up: November 13, 2012 • Find dy/dx

  2. Homework Questions?

  3. Quiz Questions?

  4. Derivatives of Inverse Trigonometric Functions Section 3.8

  5. Derivatives of Inverse Functions • To find an inverse, we switch x and y • (a, f(a))  (f(a), a)

  6. Derivatives of Inverse Functions • If f is differentiable at every point of an interval and df/dx is never zero on the interval, then f has an inverse and f -1 is differentiable at every point.

  7. Derivative of arcsin

  8. Inverse Trig Derivatives

  9. Inverse Trig Derivatives

  10. Inverse Trig Derivatives

  11. Inverse Trig Function Identities

  12. Example – Find y’

  13. Assignment • Read Section 3.8 (pages 157-162) • Page 162 Exercises #1-23 odd • Read Section 3.9 (pages 163-169)

  14. Upcoming Assessments • Quiz: 3.7-3.9 - Friday • Derivative Formula Quiz • All or nothing • Barron’s p.113 • Chapter 3 Test – Friday after Thanksgiving break

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