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Derivacije - ponavljanje gradiva

Authored by Renata Matematika

Mathematics

11th - 12th Grade

Used 18+ times

Derivacije - ponavljanje gradiva
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Derivacija funkcije  f(x)=34x4−x3+2x+1000f\left(x\right)=\frac{3}{4}x^4-x^3+2x+1000  jednaka je

 3x3−3x2+23x^3-3x^2+2  

 12x3−3x2+2x+100012x^3-3x^2+2x+1000  

 x4−3x+2x^{4^{ }}-3x+2  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Derivacija funkcije  f(x)=x3−2x+1f\left(x\right)=x^3-2x+1  jednaka je

 3x2−23x^2-2  

 3x2−2x−13x^2-2x-1  

 3x2−2x3x^2-2x  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Deriviraj funkciju  f(x)=3x2+cos⁡x−5f\left(x\right)=3x^2+\cos x-5  

 f′(x)=6x+sin⁡xf'\left(x\right)=6x+\sin x  

 f′(x)=6x−sin⁡xf'\left(x\right)=6x-\sin x  

 f′(x)=6−cos⁡xf'\left(x\right)=6-\cos x  

 f′(x)=6x3+sin⁡x−5f'\left(x\right)=6x^3+\sin x-5  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 f(x)=x2 ln⁡xf\left(x\right)=x^2\ \ln x  

 f′(x)=xf'\left(x\right)=x  

 f′(x)=2ln⁡xf'\left(x\right)=2\ln x  

 f′(x)=2x+1xf'\left(x\right)=2x+\frac{1}{x}  

 f′(x)=2xln⁡x+xf'\left(x\right)=2x\ln x+x  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Deriviraj funkciju: f(x)=3x+exf\left(x\right)=3^x+e^x  

 f′(x)=3x+ln⁡xf'\left(x\right)=3^x+\ln x  

 f′(x)=3xln⁡3+exf'\left(x\right)=3^x\ln3+e^x  

 f′(x)=3x+exf'\left(x\right)=3^x+e^x  

 f′(x)=ln⁡3f'\left(x\right)=\ln3  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Deriviraj funkciju:   f(x)=2x−5f\left(x\right)=2x-5  

-3

2

2x

-5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Deriviraj funkciju: f(x)=x +sin⁡xf\left(x\right)=x\ +\sin x  

 sin⁡x\sin x  

 x+cos⁡xx+\cos x  

 sin⁡x+x\sin x+x  

 1+cos⁡x1+\cos x  

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