Tabla de derivadas

Matemáticas. Cálculo diferencial. Derivada, derivación

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DERIVADAS 1. g(x)±f(x) g'(x)±f'(x) 2. g(x).f(x) g(x).f'(x)+g'(x).f(x) 3. g(x) g'(x).f(x)−f'(x).g(x) f(X) [f(x)]2 4. Ln f(x) f'(x) f(x) 5. ag(x) ag(x).Ln(a).g'(x) 6. eg(x) eg(x) .g'(x) 7. f(x)m m.f(x)m−1.f'(x) 8. loga[g(x)] g'(x) . logae g(x) 9. f(x)g(x) f(x)g(x).Ln[f(x)].g'(x)+g(x).f(x)g(x)−1.f'(x) 10. a f(x) a.f'(x) 11. a 0 12. Sen[g(x)] Cos[g(x)].g'(x) 13. Cos[g(x)] −Sen[g(x)].g'(x) 14. Tang[g(x)] Sec2[g(x)].g'(x) 15. Ctang[g(x)] −Csc2[g(x)].g'(x) 16. Sec[g(x)] Sec[g(x)].Tan[g(x)].g'(x) 17. Csc [g(x)] −Csc[g(x)].Ctang[g(x)].g'(x) 18. Arcotang[g(x)] g'(x) 1+g2(x) 19. ArcoCtang[g(x)] − g'(x) 1+g2(x)

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20. ArcoSen[g(x)] g'(x) "1−g2(x) 21. ArcoCos[g(x)] − g'(x) "1−g2(x) 22. ArcoSec[g(x)] g'(x) g(x)"g2(x)−1 23. ArcoCsc[g(x)] − g'(x) g(x)"g2(x)−1 24. n"u n"u . u' n.u

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