Question

Derivada sucessiva$Y= \frac{1}{ e^{x} } ; n=4$

Answer 1

Regra: d(e^u)/dx = u'.(e^u) 

Y(x) = 1/e^x = e^-x

1) Y'(x) = (-x)'.(e^-x) = -e^-x

2) Y''(x) = (-x)'.(-e^-x) = e^-x

3) Y'''(x) = (-x)'.(e^-x) = -e^-x

4) Y''''(x) = (-x)'.(-e^-x) = e^-x

*-*-*-*-*-*-*-*-*-*-*-*
16/10/2016
Sepauto
SSRC
*-*-*-*-*-*-*-*-*-*-*-*