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https://texercises.com/exercise/ableitungsregel/
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Exercise:
Zeige die Ableitungsregel fracrm drm dxx^n nx^n-

Solution:
fracrm drm dx x^n limlimits_hto fracx+h^n - x^nh limlimits_hto fraclimits_k^n binomnk x^k h^n-k - x^nh limlimits_hto fracx^n + limits_k^n- binomnkx^kh^n-k-x^nh limlimits_hto fraclimits_k^n- binomnkx^kh^n-kh limlimits_hto limits_k^n- binomnkx^kh^n--k binomnn-x^n- + limlimits_hto limits_k^n- binomnk x^k h^n--k nx^n- flushright blacksquare
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\(\LaTeX\)-Code
Exercise:
Zeige die Ableitungsregel fracrm drm dxx^n nx^n-

Solution:
fracrm drm dx x^n limlimits_hto fracx+h^n - x^nh limlimits_hto fraclimits_k^n binomnk x^k h^n-k - x^nh limlimits_hto fracx^n + limits_k^n- binomnkx^kh^n-k-x^nh limlimits_hto fraclimits_k^n- binomnkx^kh^n-kh limlimits_hto limits_k^n- binomnkx^kh^n--k binomnn-x^n- + limlimits_hto limits_k^n- binomnk x^k h^n--k nx^n- flushright blacksquare
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Tags
ableitungsregel, beweis, binomialkoeffizient, differenzialrechnung, grenzwert, summenzeichen
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Difficulty
(4, default)
Points
4 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator pw
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Link