Question

Calcule f`(0)+f``(0)+f```(0), sabendo que f(x) = $4x^{3} +2x^{2} -5x+2$

Answer 1

Resposta:

$\dot{f}(0)+\ddot{f}(0)+\dddot{f}(0)=23$

Explicação passo-a-passo:

$f(x)=4x^3+2x^2-5x+2\\\\\\\dot{f}(x)=12x^2+4x-5\Rightarrow\dot{f}(0)=12*0^2+4*0-5=-5\\\\\\\ddot{f}(x)=24x+4\Rightarrow\ddot{f}(0)=24*0+4=4\\\\\dddot{f}(x)=24\Rightarrow\dddot{f}(0)=24\\\\\dot{f}(0)+\ddot{f}(0)+\dddot{f}(0)=-5+4+24=23$