Respuesta :
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]
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]