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Ableitungen

Authored by karoline schulz

Mathematics

11th Grade

Used 29+ times

Ableitungen
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18 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Bilde die 1. Ableitung von  f(x)=−3x2+4f\left(x\right)=-3x^2+4 .


 f‘(x)=6xf^`\left(x\right)=6x  

 f‘(x)=6x2+3f^`\left(x\right)=6x^2+3  

 f‘(x)=−6xf^`\left(x\right)=-6x  

 f‘(x)=6x2f^`\left(x\right)=6x^2  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Was ist richtig? Suche die richtige 2. Ableitung von g(x)=2−14x2g\left(x\right)=2-\frac{1}{4}x^2 

 g´´(x)=−0,5g´´\left(x\right)=-0,5  

 g´´(x)=1,5g´´\left(x\right)=1,5  

 g´´(x)=0,5g´´\left(x\right)=0,5  

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Bilde die 3. Ableitung von  

 f(x)=ax3+bx2+cx+df\left(x\right)=ax^3+bx^2+cx+d 

 f‘‘‘(x)=6af^{```}\left(x\right)=6a  

 f‘‘‘(x)=6ax+2bf^{```}\left(x\right)=6ax+2b  

 f‘‘‘(x)=6axf^{```}\left(x\right)=6ax  

 f‘‘‘(x)=3ax2+2bx+cf^{```}\left(x\right)=3ax^2+2bx+c  

4.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Wie lautet die Ableitung von f(x)=3x3+2x2

f'(x)=9x+4

f'(x)=9x2+4x2

f'(x)=9x2+4x

f'(x)=18x+4

5.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Welche Steigung hat die Funktion f(x)=3x an der Stelle x=1?

1

2

3

4

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Welche Steigung hat die Funktion f(x)=3x2 an der Stelle x=1?

6

2

3

4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Wie lautet die 1. Ableitung von xn?

(n-1)xn

nxn+1

(n+1)xn-1

nxn-1

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