31641821
Description
Quiz by IWKZ Tutorium, updated more than 1 year ago
|
|
Created by IWKZ Tutorium
over 3 years ago
|
|
Question 1
Question
Geben Sie die Ableitung von \(f(x) = \frac{\sin(x)}{x^3}\).
Answer
-
\[ \frac{x \cos(x) - 3 \sin(x)}{x^4} \]
-
\[ \frac{\cos(x) - \sin(x)}{x^4} \]
-
\[ \frac{\cos(x)}{3x^2} \]
-
\[ \frac{x \cos(x) + 3x^2 \sin(x)}{x^4} \]
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
-
-8
-
6
-
100
-
74
Question 3
Question
Geben Sie die Ableitung von \( f(x) = \frac{1}{2} \sin^3( (x^3+1)^2 ) \)
Answer
-
\[ f'(x) = 9x^2 (x^3+1) \sin^2( (x^3+1)^2) \cos( (x^3+1)^2) \]
-
\[ f'(x) = \frac{1}{2} \sin^2( (x^3+1)^2) \cos( (x^3+1)^2) \]
-
\[ f'(x) = 9x^2 (x^3+1) \sin^2( (x^3+1)^2) \]
-
\[ f'(x) = \frac{3}{2} \sin^2( (x^3+1)^2) \cos( (x^3+1)^2) \]
Want to create your own Quizzes for free with GoConqr? Learn more.