Funciones Hiperbólicas

Storyboard

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ID:(426, 0)



Hyperbolic Functions

Description

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ID:(508, 0)



Hyperbolic Sine

Equation

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$y=\sinh(x)=\displaystyle\frac{1}{2}(e^x-e^{-x})$

ID:(3382, 0)



Hyperbolic Cosine

Equation

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$y=\cosh(x)=\displaystyle\frac{1}{2}(e^x+e^{-x})$

ID:(3383, 0)



Hyperbolic Tangent

Equation

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$y=\tanh(x)=\displaystyle\frac{e^x-e^{-x}}{e^x+e^{-x}}$

ID:(3384, 0)



Inverse Hyperbolic Sine

Equation

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$y=\sinh^{-1}(x)=\ln(x+\sqrt{x^2+1})$

ID:(3385, 0)



Inverse Hyperbolic Cosine

Equation

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$y=\cosh^{-1}(x)=\ln(x+\sqrt{x^2-1})$

ID:(3386, 0)



Inverse Hyperbolic Tangent

Equation

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$y=\tanh^{-1}(x)=\displaystyle\frac{1}{2}\ln\left(\displaystyle\frac{1+x}{1-x}\right)$

ID:(3387, 0)