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2016 Derivatives of Inverse Trig Functions

2016 Derivatives of Inverse Trig Functions. AP Calculus. Inverse Trig Functions. sin(y) = x. y = sin -1 (x) (with restrictions). y = sin(x). Inverse Trig Functions with Restrictions. Remember : Implicit differentiation. B. Remember: Pythagorean Relations. c. a. y.

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2016 Derivatives of Inverse Trig Functions

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  1. 2016 Derivatives of Inverse Trig Functions AP Calculus

  2. Inverse Trig Functions sin(y) = x y = sin-1(x) (with restrictions) y = sin(x)

  3. Inverse Trig Functions with Restrictions

  4. Remember : Implicit differentiation

  5. B Remember:Pythagorean Relations c a y C b A a or b unknown c unknown

  6. 1 Inverse Trig: Arcsine x y Chain Rule:

  7. Find the derivative: EX: Find the derivative.

  8. Inverse Trig: Arctangent x y 1 Chain Rule:

  9. Find the derivative: EX:

  10. Inverse Trig: Arcsecant x y 1 Chain Rule:

  11. Arcsine with the Chain Rule: u = f(x) Learn these in PAIRS: Arccosine with the Chain Rule: u = f(x)

  12. Arctangent with the Chain Rule: u = f(x) Learn these in PAIRS: Arccotangent with the Chain Rule: u = f(x)

  13. Learn these in PAIRS: Inverse Trig: with the Chain Rule: u = f(x)

  14. Last Update • 10/19/10 • Assignment: p 170 # 1- 21 odd , 27-29

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