# derivata!!

Discussione in 'Matematica' iniziata da studentessa8888, 17 Ottobre 2010.

1. ### studentessa8888PriminoUtente

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Come Si Calcola La Derivata Di Y=arccos (1/x)

2. ### franceinsteinPriminoUtente

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La derivata dell'arcocoseno è espressa nella formula:
$$D(arccosx)= \frac{1}{\sqrt{1-x^2}}$$
Quindi nel nostro caso sarà:
$$D(arccos{\frac{1}{x}})= \frac{1}{\sqrt{1- \frac{1}{x^2}}} \cdot D(\frac{1}{x})=\\ =\frac{-\frac{1}{x^2}}{\sqrt{\frac{x^2-1}{x^2}}}=\\ \frac{-\frac{1}{x^2}}{\frac{1}{x}\sqrt{x^2-1}}=\\ =- \frac{1}{x \sqrt{x^2-1}}$$
spero di essre stato utile...ciao

3. ### zaohua768PriminoUtente

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