Questions and Answers
Qual es le derivata de arcsin(u)?
1/(sqrt(1-u^2)) * du/dx
Qual es le derivata de arccos(u)?
-1/(sqrt(1-u^2)) * du/dx
Qual es le derivata de arctan(u)?
1/(1+u^2) * du/dx
Qual es le derivata de arccot(u)?
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Qual es le derivata de arcsec(u)?
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Qual es le derivata de arccsc(u)?
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Study Notes
Derivatives of Inverse Trigonometric Functions
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Derivative of arcsin(u):
(\frac{dy}{dx} = \frac{1}{\sqrt{1-u^2}} \cdot \frac{du}{dx}) -
Derivative of arccos(u):
(\frac{dy}{dx} = -\frac{1}{\sqrt{1-u^2}} \cdot \frac{du}{dx}) -
Derivative of arctan(u):
(\frac{dy}{dx} = \frac{1}{1+u^2} \cdot \frac{du}{dx}) -
Derivative of arccot(u):
(\frac{dy}{dx} = -\frac{1}{1+u^2} \cdot \frac{du}{dx}) -
Derivative of arcsec(u):
(\frac{dy}{dx} = \frac{1}{|u| \sqrt{u^2-1}} \cdot \frac{du}{dx}) -
Derivative of arccsc(u):
(\frac{dy}{dx} = -\frac{1}{|u| \sqrt{u^2-1}} \cdot \frac{du}{dx})
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Description
Este quiz presenta as derivadas das funciones trigonométricas inversas como arcsin, arccos, arctan, entre outros. Aprende as fórmulas e a aplicação das derivadas para cada función. Óptimo para estudantes de cálculo e matemáticas avanzadas.
