Exercise
https://texercises.com/exercise/taylorreihen-repetition-3/
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Exercise:
T_ fx; x_ text? mit fx sqrtx und x_

Solution:
edt fx sqrtx x^frac quad Rightarrow quad f ^frac f'x tfracx^-frac quad Rightarrow quad f' tfrac ^-frac tfrac f''x -tfracx^-frac quad Rightarrow quad f'' -tfrac ^-frac -tfrac ed medskip edt Tfx dfracf! + dfracf'!x- + dfracf''!x-^ + tfracx- - tfracx-^ ex + tfracx -tfrac - tfrac x^ - x + ex + tfracx -tfrac - tfracx^ + tfracx - tfrac ex -tfracx^ + tfracx + tfrac ed
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\(\LaTeX\)-Code
Exercise:
T_ fx; x_ text? mit fx sqrtx und x_

Solution:
edt fx sqrtx x^frac quad Rightarrow quad f ^frac f'x tfracx^-frac quad Rightarrow quad f' tfrac ^-frac tfrac f''x -tfracx^-frac quad Rightarrow quad f'' -tfrac ^-frac -tfrac ed medskip edt Tfx dfracf! + dfracf'!x- + dfracf''!x-^ + tfracx- - tfracx-^ ex + tfracx -tfrac - tfrac x^ - x + ex + tfracx -tfrac - tfracx^ + tfracx - tfrac ex -tfracx^ + tfracx + tfrac ed
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Attributes & Decorations
Tags
mathematik, taylorreihen
Content image
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator wg
Decoration
File
Link