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3.3: Tarea-Regla de Poder

Última actualización

30 oct 2022
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- 3.2: Regla de poder
- 3.4: Consejos y trucos de álgebra Parte VI (Logaritmos)

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Compute las siguientes derivadas. No utilice la definición del derivado. En cambio, usa las reglas de linealidad y poder de las que hablamos en esta sección.
1. $\cfrac{d}{dx}\ x^{15}$
  $15 x^{14}$
  ans
2. $\cfrac{d}{dx}\ 3x^6$
  $18x^5$
  ans
3. $\cfrac{d}{dx}\ \cfrac{1}{2}x^{4}$
  $2x^3$
  ans
4. $\cfrac{d}{dx}\ 3 x^2 + 6x - 1$
  $6x + 6$
  ans
5. $\cfrac{d}{dx}\ (2x + 3)^2$
  $8x + 12$
  ans
6. ans
7. $\cfrac{d}{dx}\ 7 x^{-4}$
  $-28x^{-5}$
  ans
8. ans
9. $\cfrac{d}{dx}\ \sqrt{x}$
  
  ans
10. $\cfrac{d}{dx}\ \frac{1}{x}$
  $-x^{-2}$
  ans
11. $\cfrac{d}{dx}\ \sqrt[3]{x^2}$
  
  ans
12. $\cfrac{d}{dx}\ \frac{2}{\sqrt{x}}$
  
  ans

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