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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?

-1 / (1 + x²) Signup and view all the answers

Qual es le derivata de arcsec?

1 / (|x| √(x² - 1)) Signup and view all the answers

Qual es le derivata de arccsc?

-1 / (|x| √(x² - 1)) Signup and view all the answers

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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Description

Este quiz explora le derivatas de le functiones arcus como arcsin, arccos, e arctan. Utilisa iste flashcards pro aprimorar tu comprehension e memoration de iste conceptos matematicos. Es un ferramenta utile pro studentes de matematicas e calcule.