Exercise
https://texercises.com/exercise/expliziter-differenzenquotient-fur-polynom/
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Exercise:
Führe für das Polynom fx x^ mittels Grenzwert über den Differenzenquotienten möglichst explizit vor was f'x ist.

Solution:
f'x lim_hrightarrow fracfx+h-fxh lim_hrightarrow fracx+h^-x^h lim_hrightarrow fracx^+x^h+xh^+h^-x^h lim_hrightarrow fracx^h+xh^+h^h lim_hrightarrow x^+xh+h^ x^
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Exercise:
Führe für das Polynom fx x^ mittels Grenzwert über den Differenzenquotienten möglichst explizit vor was f'x ist.

Solution:
f'x lim_hrightarrow fracfx+h-fxh lim_hrightarrow fracx+h^-x^h lim_hrightarrow fracx^+x^h+xh^+h^-x^h lim_hrightarrow fracx^h+xh^+h^h lim_hrightarrow x^+xh+h^ x^
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Tags
differentialrechnung, mathematik, polynom
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Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Show
Creator uz
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