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https://texercises.com/exercise/taylorreihen-repetition-1/
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Exercise:
T_ fx; x_ text? mit fx sin x und x_fracpi ohne Ausmultiplizieren

Solution:
edt fx sin x quad Rightarrow quad fbigtfracpibig sinbigtfracpibig ex f'x cos x quad Rightarrow quad f'bigtfracpibig cosbigtfracpibig ex f''x -sin x quad Rightarrow quad f''bigtfracpibig -sinbigtfracpibig - ed medskip edt Tfx dfracfbigtfracpibig! + dfracf'bigtfracpibig!bigx-tfracpibig + dfracf''bigtfracpibig!bigx-tfracpibig^ ex + bigx-tfracpibig - tfrac bigx-tfracpibig^ ex - tfracbigx^ - pi x + tfracpi^big ex - tfracx^ + tfracpi x + tfracpi^ ex -tfracpix^ + tfracpi x - tfracpi^ + ed
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\(\LaTeX\)-Code
Exercise:
T_ fx; x_ text? mit fx sin x und x_fracpi ohne Ausmultiplizieren

Solution:
edt fx sin x quad Rightarrow quad fbigtfracpibig sinbigtfracpibig ex f'x cos x quad Rightarrow quad f'bigtfracpibig cosbigtfracpibig ex f''x -sin x quad Rightarrow quad f''bigtfracpibig -sinbigtfracpibig - ed medskip edt Tfx dfracfbigtfracpibig! + dfracf'bigtfracpibig!bigx-tfracpibig + dfracf''bigtfracpibig!bigx-tfracpibig^ ex + bigx-tfracpibig - tfrac bigx-tfracpibig^ ex - tfracbigx^ - pi x + tfracpi^big ex - tfracx^ + tfracpi x + tfracpi^ ex -tfracpix^ + tfracpi x - tfracpi^ + ed
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Tags
mathematik, taylorreihen
Content image
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator wg
Decoration
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Link