Question

5) La segunda derivada de la función definida por
f(x) = 2x3 + 2x2 + x - 5 es f''(x); igual a

a) 12x + 4
b) 24x
c) 6x2
d) 1

Answer 1

${y=2x^3+2x^2+x-5}\\\\\\{y`=(2x^3)`+(2x^2)`+(x)`-(5)`}\\\\{y`=2(x^3)`+2(x^2)`+1+0}\\\\{y`=2(3x^2)+2(2x)+1}\\\\{y`=6x^2+4x+1}\\\\\\{y``=(6x^2)`+(4x)`+(1)`}\\\\{y``=6(x^2)`+4(x)`+0}\\\\{y``=6(2x)+4(1)}\\\\{\boxed{y``=12x+4}}\\\\{\mathbf{salu2.!!\ :)}}\\{\mathbf{Wellington}}$