Hola
Regla del producto
H(t) = (a t^2 + b) e^(- c t)
H' = [a t^2 + b] ' (e^(- c t)) + (a t^2 + b) [e^(-c t)]'
H' = (2 a t ) e^(-c t) + (a t^2 + b) (- c) e^(-c t)
ó
H' = (- a c t^2 + 2 a t - b c) e^(- c t)
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Answers & Comments
Hola
Regla del producto
H(t) = (a t^2 + b) e^(- c t)
H' = [a t^2 + b] ' (e^(- c t)) + (a t^2 + b) [e^(-c t)]'
H' = (2 a t ) e^(-c t) + (a t^2 + b) (- c) e^(-c t)
ó
H' = (- a c t^2 + 2 a t - b c) e^(- c t)
*****************************************