31641821
Description
Quiz by IWKZ Tutorium, updated more than 1 year ago
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Created by IWKZ Tutorium
almost 3 years ago
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Question 1
Question
Geben Sie die Ableitung von \(f(x) = \frac{\sin(x)}{x^3}\).
Answer
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\[ \frac{x \cos(x) - 3 \sin(x)}{x^4} \]
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\[ \frac{\cos(x) - \sin(x)}{x^4} \]
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\[ \frac{\cos(x)}{3x^2} \]
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\[ \frac{x \cos(x) + 3x^2 \sin(x)}{x^4} \]
Question 2
Question
Geben Sie die Ableitung von \( (x^2 + x - 20)(-2x^2+4x+6) \)
\( f'(x) = \) [blank_start]-8[blank_end] \( x^3 + \) [blank_start]6[blank_end] \( x^2 + \) [blank_start]100[blank_end] \( x -\) [blank_start]74[blank_end]
Answer
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-8
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6
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100
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74
Question 3
Question
Geben Sie die Ableitung von \( f(x) = \frac{1}{2} \sin^3( (x^3+1)^2 ) \)
Answer
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\[ f'(x) = 9x^2 (x^3+1) \sin^2( (x^3+1)^2) \cos( (x^3+1)^2) \]
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\[ f'(x) = \frac{1}{2} \sin^2( (x^3+1)^2) \cos( (x^3+1)^2) \]
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\[ f'(x) = 9x^2 (x^3+1) \sin^2( (x^3+1)^2) \]
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\[ f'(x) = \frac{3}{2} \sin^2( (x^3+1)^2) \cos( (x^3+1)^2) \]
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