Derivadas Inversas Trigonometricas

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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)?

<p>-1/(1+u^2) * du/dx</p> Signup and view all the answers

Qual es le derivata de arcsec(u)?

<p>1/(abs(u) * sqrt(u^2-1)) * du/dx</p> Signup and view all the answers

Qual es le derivata de arccsc(u)?

<p>-1/(abs(u) * sqrt(u^2-1)) * du/dx</p> Signup and view all the answers

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Study Notes

Derivatives of Inverse Trigonometric Functions

  • 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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