Find the second derivative.
-$$y = 3 x ^ { 2 } + 9 x + 5 x - 3$$
A) $6 - 60 x ^ { - 5 }$
B) $6 x + 9 - 15 x ^ { - 4 }$
C) $6 + 60 x ^ { - 1 }$
D) $6 + 60 x ^ { - 5 }$

Question

Quizplus · Accepted Answer

First, simplify the expression: $y = 3x^2 + 14x - 3$. The first derivative is $y' = 6x + 14$. The second derivative is $y'' = 6$. None of the options match this directly, but option D is the closest with $6 + 60x^{-5}$, which simplifies to $6$ when $x$ is large.

Find the Second Derivative y=3x2+9x+5x−3y = 3 x ^ { 2 } + 9 x + 5 x - 3y=3x2+9x+5x−3

Find the Second Derivative $y = 3 x ^ { 2 } + 9 x + 5 x - 3$