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Derivadas simples

Authored by Javier Trejos

Mathematics

University

Used 11+ times

Derivadas simples
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13 questions

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1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Sea  f(x) = 2x2 − 3x +1f\left(x\right)\ =\ 2x^2\ -\ 3x\ +1 .  Entonces la derivada de  f(x)f\left(x\right)  es: (escoja la opción correcta)

 f′(x)=2x−3f'\left(x\right)=2x-3  

 f′(x)=4xf'\left(x\right)=4x  

 f′(x)=4x−3f'\left(x\right)=4x-3  

 f′(x)=2xf'\left(x\right)=2x  

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

La derivada de la función

 f(x) = 4x5+3x−10f\left(x\right)\ =\ 4x^5+3x-10  es: (escoja la opción correcta)

 f′(x)=5x4+3x.f'\left(x\right)=5x^4+3x.  

 f′(x)=5x4+3x+10f'\left(x\right)=5x^4+3x+10  

 f′(x)=20x4+3.f'\left(x\right)=20x^4+3.  

 f′(x)=20x4+3x−10f'\left(x\right)=20x^4+3x-10  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

La derivada de la función 

 f(x)=3x22f\left(x\right)=\frac{3x^2}{\sqrt{2}}  es: (escoja la opción correcta)

 f′(x)=32x.f'\left(x\right)=3\sqrt{2}x.  

 f′(x)=62x.f'\left(x\right)=6\sqrt{2}x.  

 f′(x)=3x2.f'\left(x\right)=\frac{3x}{\sqrt{2}}.  

 f′(x)=6x2.f'\left(x\right)=\frac{6x}{\sqrt{2}}.  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Sea la función f(x) = 7x2−3xf\left(x\right)\ =\ \sqrt{7x^2-3x} . Entonces la derivada de  f(x)f\left(x\right)  es: (escoja la opción correcta)

 f′(x) =14x−327x2−3xf'\left(x\right)\ =\frac{14x-3}{2\sqrt{7x^2-3x}}  

 f′(x)=127x2−3xf'\left(x\right)=\frac{1}{2\sqrt{7x^2-3x}}  

 f′(x)=7x2−3x14x−3f'\left(x\right)=\frac{\sqrt{7x^2-3x}}{14x-3}  

 f′(x)=14x27x2−3xf'\left(x\right)=\frac{14x}{2\sqrt{7x^2-3x}}  

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

La derivada de la función

 f(x)=4exf\left(x\right)=4e^x  es: (escoja la opción correcta)

 f′(x)=4ex.f'\left(x\right)=4e^x.  

 f′(x)=2ex.f'\left(x\right)=2e^x.  

 f′(x)=4xex−1.f'\left(x\right)=4xe^{x-1}.  

 f′(x)=ln⁡(4)ex.f'\left(x\right)=\ln\left(4\right)e^x.  

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

La derivada de la función

 f(x) = cos⁡(4x+1)f\left(x\right)\ =\ \cos\left(4x+1\right)  es: (escoja la opción correcta)

 f′(x)=4cos⁡(4x+1).f'\left(x\right)=4\cos\left(4x+1\right).  

 f′(x)=−4sin⁡(4x+1).f'\left(x\right)=-4\sin\left(4x+1\right).  

 f′(x)=−4sin⁡(4).f'\left(x\right)=-4\sin\left(4\right).  

 f′(x)=−4cos⁡(4x+1).f'\left(x\right)=-4\cos\left(4x+1\right).  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

La derivada de la función f(x)=tan⁡(x)+sec⁡(x)f\left(x\right)=\tan\left(x\right)+\sec\left(x\right)  es: (escoja la opción correcta)


 f′(x)=sec⁡2(x)+sec⁡(x)tan⁡(x).f'\left(x\right)=\sec^2\left(x\right)+\sec\left(x\right)\tan\left(x\right).  

 f′(x)=sec⁡2(x)−sec⁡(x)tan⁡(x).f'\left(x\right)=\sec^2\left(x\right)-\sec\left(x\right)\tan\left(x\right).  

 f′(x)=sec⁡2(x)−tan⁡(x).f'\left(x\right)=\sec^2\left(x\right)-\tan\left(x\right).  

 f′(x)=tan⁡2(x)+sec⁡2(x).f'\left(x\right)=\tan^2\left(x\right)+\sec^2\left(x\right).  

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