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Die natürliche Exponentialfunktion und ihre Ableitung

Authored by Jagna Oswald

Mathematics

5th - 12th Grade

Used 4+ times

Die natürliche Exponentialfunktion und ihre Ableitung
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Welches ist die Stammfunktion von :

f(x) = ex

F(x) = ln(x) + c

F(x) = ex + c

F(x) = ln(ex) + c

F(x) = log(x) + c

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Gib die Stammfunktion ein:

f(x) = ex + sin(x)

F(x) = ln(x) - cos(x) + c

F(x) = ex + cos(x) + c

F(x) = ex - cos(x) +c

F(x) = ex + sin(x) +c

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Gib die Stammfunktion ein :

 f(x)=2ex+x2f\left(x\right)=2e^{x^{ }}+x^2  

 F(x)=  2ex + 13 x3 +cF\left(x\right)=\ \ 2e^{x\ ^{ }}+\ \frac{1}{3}\ x^3\ +c  

 F(x)=2ex +2x +cF\left(x\right)=2e^x\ +2x\ +c  

 F(x)=2xex + 12x2 +cF\left(x\right)=2xe^x\ +\ \frac{1}{2}x^2\ +c  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Berechnen Sie den oben gegebenen Integral:

e3−4e^3-4

e3−1e^{3^{ }}-1

 e3−3e^3-3  

16,085

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Berechnen Sie den oben gegebenen Integral

 ex−1e^x-1  

 e3 −2,5e^{3\ }-2,5  

 ex−4e^x-4  

 e3−1,5e^3-1,5  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Berechne den oben gegeben Integral

1−e31-e^3

−e−3-e^{-3}

1+e−31+e^{-3}

1−e−31-e^{-3}

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Berechne Sie den Integral:


 ∫01 (ex−2sin⁡(x))dx\int_0^1\ \left(e^x-2\sin\left(x\right)\right)dx  

 0,7990,799 

 1,7991,799 

 2,7992,799 

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