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Bases para comprender como se deriva e integra para comprender como en física se resuelven ecuaciones que se formulan con derivadas.

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$\displaystyle\displaystyle\frac{d}{dx}\left(\displaystyle\displaystyle\frac{f}{g}\right)=\displaystyle\displaystyle\frac{\displaystyle\displaystyle\frac{df}{dx}g - f\displaystyle\displaystyle\frac{dg}{dx}}{g^2}$

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$\displaystyle\frac{df}{dx}=\lim_{\epsilon\rightarrow 0}\displaystyle\frac{f(x+\epsilon)-f(x)}{\epsilon}$

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$\displaystyle\frac{\partial f}{\partial x_i}=\lim_{\epsilon\rightarrow 0}\displaystyle\frac{f(x_1,x_2,\ldots,x_i+\epsilon,\ldots,x_n)-f(x_1,x_2,\ldots,x_i+\epsilon,\ldots,x_n)}{\epsilon}$

ID:(3278, 0)

Beschreibung

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$\farc{\partial}{\partial x}(cf)=c\farc{\partial f}{\partial x}$

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$\farc{\partial}{\partial x}(fg)=\farc{\partial f}{\partial x}g+f\farc{\partial g}{\partial x}$

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$\farc{\partial}{\partial x}(f+g)=\farc{\partial f}{\partial x}+\farc{\partial g}{\partial x}$

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Gleichung

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$\displaystyle\frac{df}{dx}=\displaystyle\frac{df}{du}\displaystyle\frac{du}{dx}$

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