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https://texercises.com/exercise/differenzieren-von-sinus-und-cosinus-1/
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Exercise:
Zeige dass die Ableitung der Sinusfunktion gleich der Cosinusfunktion ist also fracddddx sinx cosx. Gehe dabei vom Differenzenquotienten aus und verwe das Additionstheorem sina + b sinacosb + cosasinb

Solution:
fracddddx sinx lim_h to fracsinx + h - sinxh lim_h to fracsinxcosh + cosxsinh - sinxh lim_h to fracsinxcosh - + cosxsinhh lim_h to fracsinxcosh - h + fraccosxsinhh sinx + cosx cosx
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Exercise:
Zeige dass die Ableitung der Sinusfunktion gleich der Cosinusfunktion ist also fracddddx sinx cosx. Gehe dabei vom Differenzenquotienten aus und verwe das Additionstheorem sina + b sinacosb + cosasinb

Solution:
fracddddx sinx lim_h to fracsinx + h - sinxh lim_h to fracsinxcosh + cosxsinh - sinxh lim_h to fracsinxcosh - + cosxsinhh lim_h to fracsinxcosh - h + fraccosxsinhh sinx + cosx cosx
Contained in these collections:
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Tags
ableitung, cos, differentialrechnung, mathematik, si
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Difficulty
(4, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Show
Creator uz
Decoration