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Flashcards

Dérivées

Leonard Euler English 25 cards

Cards in this deck (25)

  1. 1\[\dfrac{d}{dx} c\]\[0\]
  2. 2\[\dfrac{d}{dx} x\]\[1\]
  3. 3\[\dfrac{d}{dx} x^2\]\[2x\]
  4. 4\[\dfrac{d}{dx} x^3\]\[3x^2\]
  5. 5\[\dfrac{d}{dx} x^k\]\[k\cdot x^{k-1}\]
  6. 6\[\dfrac{d}{dx} \dfrac{1}{x}\]\[-\dfrac{1}{x^2}\]
  7. 7\[\dfrac{d}{dx} \sqrt{x}\]\[\dfrac{1}{2\sqrt{x}}\]
  8. 8\[(\lambda\cdot u)'\]\[\lambda\cdot u'\]
  9. 9\[(u+v)'\]\[u'+v'\]
  10. 10\[(u\cdot v)'\]\[u'\cdot v+u\cdot v'\]
  11. 11\[\Big(\dfrac{1}{u}\Big)'\]\[-\dfrac{u'}{u^2}\]
  12. 12\[\Big(\dfrac{u}{v}\Big)'\]\[\dfrac{u'\cdot v-u\cdot v'}{v^2}\]
  13. 13\[(u\circ v)'\]\[(u' \circ v)\cdot v'\]
  14. 14\[(\sqrt{u})'\]\[\dfrac{u'}{2\sqrt{u}}\]
  15. 15\[(u^k)'\]\[k\cdot u^{k-1}\cdot u'\]
  16. 16\[\dfrac{d}{dx} \sin{x}\]\[\cos{x}\]
  17. 17\[\dfrac{d}{dx} \cos{x}\]\[-\sin{x}\]
  18. 18\[\dfrac{d}{dx} \tan{x}\]\[1+\tan^2{x}=\dfrac{1}{\cos^2{x}}\]
  19. 19\[(\sin{u})'\]\[u'\cdot \cos{u}\]
  20. 20\[(\cos{u})'\]\[-u'\cdot \sin{u}\]
  21. 21\[(\tan{u})'\]\[u'\cdot(1+\tan^2{u})=\dfrac{u'}{\cos^2{u}}\]
  22. 22\[\dfrac{d}{dx} e^x\]\[e^x\]
  23. 23\[\dfrac{d}{dx} \ln{x}\]\[\dfrac{1}{x}\]
  24. 24\[(e^u)'\]\[u'\cdot e^u\]
  25. 25\[(\ln{u})'\]\[\dfrac{u'}{u}\]

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Description
Flashcards on Dérivées, created by Leonard Euler on 20/12/2014.
Created by
Leonard Euler
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