Arc Derivatives Flashcards

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Questions and Answers

Qual es le derivata de arcsin?

  • 1 / (x √(1 - x²))
  • 1 / √(1 - x²) (correct)
  • √(1 + x²)
  • 1 / (1 + x²)

Qual es le derivata de arccos?

  • -√(1 + x²)
  • 1 / (1 + x²)
  • -1 / (x √(1 - x²))
  • -1 / √(1 - x²) (correct)

Qual es le derivata de arctan?

  • 1 / (1 + x²) (correct)
  • 1 / √(1 - x²)
  • √(1 - x²)
  • 1 / (x √(1 + x²))

Qual es le derivata de arccot?

<p>-1 / (1 + x²) (A)</p> Signup and view all the answers

Qual es le derivata de arcsec?

<p>1 / (|x| √(x² - 1)) (D)</p> Signup and view all the answers

Qual es le derivata de arccsc?

<p>-1 / (|x| √(x² - 1)) (A)</p> Signup and view all the answers

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Study Notes

Derivativas de Functios Arc

  • d/dx arcsin x: Derivativa es 1 / √(1 - x²) per x in [-1, 1].
  • d/dx arccos x: Derivativa es -1 / √(1 - x²) per x in [-1, 1].
  • d/dx arctan x: Derivativa es 1 / (1 + x²) per x in toto le dominio real.
  • d/dx arccot x: Derivativa es -1 / (1 + x²) per x in toto le dominio real.
  • d/dx arcsec x: Derivativa es 1 / (|x| √(x² - 1)) per x ≤ -1 o x ≥ 1.
  • d/dx arccsc x: Derivativa es -1 / (|x| √(x² - 1)) per x ≤ -1 o x ≥ 1.

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