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Derivada ex
(Matemática | Cálculo | Derivadas | Tabla de | ex)
(d/dx) ex = ex



Demostración de (d-dx) ex : por (d-dx) ln(x)

Dando : (d-dx) ln(x) = 1/x; La regla de la cadena; d/dx x = 1.
Resuelva:

(1) (d-dx) ln(ex) = (d-dx) x = 1
(d-dx) ln(ex) = (d/du) ln(u) (d-dx) ex (Fije u=ex)
= 1/u (d-dx) ex = 1/ex (d-dx) ex = 1 (ecuación 1)
(d-dx) ex = ex       Q.E.D.

  
 
  

 
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