Alongmollier Alongmollier
  • 10-07-2016
  • Mathematics
contestada

What is the derivative of e to the poker minus x

Respuesta :

konrad509
konrad509 konrad509
  • 10-07-2016
[tex](e^{-x})'=e^{-x}\cdot(-x)'=e^{-x}\cdot(-1)=-e^{-x}[/tex]
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olemakpadu
olemakpadu olemakpadu
  • 10-07-2016
y = [tex] e^{-x}[/tex]                

let u = x

y = [tex] e^{u} [/tex]

dy/dx = dy/du  * du/dx

dy/du =  [tex] e^{u} [/tex]

du/dx = -1

dy/dx =  [tex] e^{u} [/tex]  * -1

dy/dx =  -[tex] e^{u} [/tex]

dy/dx = -[tex] e^{-x}[/tex]   
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