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DERIVADAS CON FÓRMULA

GUADALUPE CASTRO 14 questions

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  1. 1La derivada de la función \(x^4+5x^5-4x+2\)es
    1. A\(-4+4 x^3+25 x^4\)
    2. B\(-4+4 x+25 x\)
    3. C\(-4+ x^3+x^4\)
  2. 2La derivada de la función \(\sqrt{x}+\sqrt[4]{x}-\sqrt[5]{x^3}\) es:
    1. A\(\frac{1}{4 x^{1/4}}+\frac{1}{5 \sqrt{x}}-\frac{3 x^3}{6 \left(x^3\right)^{4/5}}\)
    2. B\(\frac{1}{4 x^{3/4}}+\frac{1}{2 \sqrt{x}}-\frac{3 x^2}{5 \left(x^3\right)^{4/5}}\)
    3. C\(\frac{1}{4 x^{3/4}}+\frac{1}{2 \sqrt{x}}-\frac{3 x^4}{-7 \left(x^6\right)^{3/2}}\)
  3. 3La derivada de la función \(\left(x^2+3x\right)\text{Sin}[x]\) es:
    1. A\(\left(3 x+x^2\right)\text{Sin}[x] +(3+2 x) \text{Cos}[x]\)
    2. B\((2 x+3) \text{Cos}[x]\)
    3. C\(\left(3 x+x^2\right) \text{Cos}[x]+(3+2 x) \text{Sin}[x]\)
  4. 4La derivada de la función \(\frac{e^x+1}{x}\) es:
    1. A\(\frac{-1-e^x+e^x x}{x^2}\)
    2. B\(\frac{e^x}{1}\)
    3. C\(\frac{\left(e^x+1\right)+(x)e^x}{x^2}\)
  5. 5La derivada de la función \(5\text{ArcSin}\left[x^4\right]\) es
    1. A\(\frac{20 x^3}{\sqrt{1-x^8}}\)
    2. B\(\frac{x^4}{\sqrt{1-x^2}}\)
    3. C\(\frac{3x^4}{\sqrt{x^4-1}}\)
  6. 6La derivada de la función\((x \text{Cos}[x])^3\) es:
    1. A\(3 (-x \text{Sin}[x]+\text{Cos}[x])^2\)
    2. B\(3 (x \text{Cos}[x])^2 (-x \text{Sin}[x]+\text{Cos}[x])\)
    3. C\(3 (x \text{Cos}[x])^2\)
  7. 7La derivada de la función \(\text{Ln}(\text{ArcSin} x)\) es:
    1. A\(\frac{1}{\text{ArcSin} x \sqrt{1-x^2} }\)
    2. B\(\frac{1}{\text{ArcSin} x\text{ }}\)
    3. C\(\frac{1}{x }.\frac{1}{\sqrt{1-x^2}}\)
  8. 8La derivada de la función \(\text{ArcSec}\left[10^x\right]\)
    1. A\(\frac{10^x \text{Ln}[10]}{x\sqrt{x^2-1}}\)
    2. B\(\frac{10^x }{10^x\sqrt{\left(10^{ x}\right)^2-1}}\)
    3. C\(\frac{10^x \text{Ln}[10]}{10^x\sqrt{\left(10^{ x}\right)^2-1}}\)
  9. 9La derivada de la función \(\text{Cos}[4x]+\text{Sin}\left[3x^3\right]-\text{Sec}\left[e^x\right]\) es:
    1. A\(\text{Cos}\left[3 x^3\right]-\text{Sin}[4 x]-\text{Sec}\left[e^x\right] \text{Tan}\left[e^x\right]\)
    2. B\(\text{Cos}\left[9 x^2 \right]- \text{Sin}[4]-\text{Sec}\left[e^x\right] \text{Tan}\left[e^x\right]\)
    3. C\(9 x^2 \text{Cos}\left[3 x^3\right]-4 \text{Sin}[4 x]-e^x \text{Sec}\left[e^x\right] \text{Tan}\left[e^x\right]\)
  10. 10La derivada de la función \(\text{Cot}\left[e^{x^2+x}\right]\) es:
    1. A\(-\text{Csc}^2\left[e^{x+x^2}\right]e^{x+x^2} (1+2 x) \)
    2. B\(-\text{Csc}^2\left[e^{x+x^2}\right]\)
    3. C\(-\text{Csc}^2\left[e^{x+x^2} (1+2 x)\right] \)

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Description
Quiz on DERIVADAS CON FÓRMULA, created by GUADALUPE CASTRO on 31/05/2014.
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