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Questions and Answers
Qual es le derivata de arcsin(u)?
Qual es le derivata de arcsin(u)?
1/(sqrt(1-u^2)) * du/dx
Qual es le derivata de arccos(u)?
Qual es le derivata de arccos(u)?
-1/(sqrt(1-u^2)) * du/dx
Qual es le derivata de arctan(u)?
Qual es le derivata de arctan(u)?
1/(1+u^2) * du/dx
Qual es le derivata de arccot(u)?
Qual es le derivata de arccot(u)?
Qual es le derivata de arcsec(u)?
Qual es le derivata de arcsec(u)?
Qual es le derivata de arccsc(u)?
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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