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https://texercises.raemilab.ch/exercise/taylorreihen-ubungen-8/
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Exercise:
Schreibe das Polynom px x^ + x^ + x^ + x + mit Hilfe des Satzes von Taylor um in die Form px c_x-^ + c_x-^ + c_x-^ + c_x- + c_.

Solution:
edt px p + p'x- + dfrac!p''x-^ ex &quad + dfrac!p'''x-^ + dfrac!p^x-^ ed pause edatt px x^ + x^ + x^ + x + pause &quad &Rightarrow &quad p ex pause p'x x^ + x^ + x + pause &quad &Rightarrow &quad p' ex pause p''x x^ + x + pause &quad &Rightarrow &quad p'' ex pause p'''x x + pause &quad &Rightarrow &quad p''' ex pause p^x pause &quad &Rightarrow &quad p^ edat medskippause edt px + x- + dfracx-^ + dfracx-^ + dfracx-^ ex x-^ + x-^ + x-^ + x- + ed
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Exercise:
Schreibe das Polynom px x^ + x^ + x^ + x + mit Hilfe des Satzes von Taylor um in die Form px c_x-^ + c_x-^ + c_x-^ + c_x- + c_.

Solution:
edt px p + p'x- + dfrac!p''x-^ ex &quad + dfrac!p'''x-^ + dfrac!p^x-^ ed pause edatt px x^ + x^ + x^ + x + pause &quad &Rightarrow &quad p ex pause p'x x^ + x^ + x + pause &quad &Rightarrow &quad p' ex pause p''x x^ + x + pause &quad &Rightarrow &quad p'' ex pause p'''x x + pause &quad &Rightarrow &quad p''' ex pause p^x pause &quad &Rightarrow &quad p^ edat medskippause edt px + x- + dfracx-^ + dfracx-^ + dfracx-^ ex x-^ + x-^ + x-^ + x- + ed
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Tags
mathematik, taylorreihe, taylorreihen, übungen
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image

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