Kvotient regel derivasjon-bevis: Forskjell mellom sideversjoner
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Ny side: $$ $f'(x)= \lim_{\deltax \rightarrow0} \frac{\frac{u(x+\delta x}{v(x+ \delta x} - \frac{u(x)}{v(x)}}{\delta x}$ |
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$f'(x)= \lim_{\ | $f'(x)= \lim_{\delta x \rightarrow0} \frac{\frac{u(x+\delta x)}{v(x+ \delta x)} - \frac{u(x)}{v(x)}}{\delta x} \\ \lim_{\delta x \rightarrow0} \frac{\frac{u(x+\delta x)}{v(x+ \delta x)} - \frac{u(x)}{v(x)}}{\delta x \cdot v(x+ \delta x) \cdot v(x)} \\ $ | ||
Sideversjonen fra 5. jun. 2015 kl. 14:00
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$f'(x)= \lim_{\delta x \rightarrow0} \frac{\frac{u(x+\delta x)}{v(x+ \delta x)} - \frac{u(x)}{v(x)}}{\delta x} \\ \lim_{\delta x \rightarrow0} \frac{\frac{u(x+\delta x)}{v(x+ \delta x)} - \frac{u(x)}{v(x)}}{\delta x \cdot v(x+ \delta x) \cdot v(x)} \\ $