Find the second derivative.
-$$y = 4 x ^ { 2 } + 9 x + 5 x ^ { - 3 }$$
A) $8 + 60 x ^ { - 1 }$
B) $8 + 60 x ^ { - 5 }$
C) $8 x + 9 - 15 x ^ { - 4 }$
D) $8 - 60 x ^ { - 5 }$

Question

Quizplus · Accepted Answer

The second derivative of $y = 4x^2 + 9x + 5x^{-3}$ is found by first differentiating to get the first derivative $y' = 8x + 9 - 15x^{-4}$, and then differentiating again to get the second derivative $y'' = 8 - 60x^{-5}$.

Find the Second Derivative y=4x2+9x+5x−3y = 4 x ^ { 2 } + 9 x + 5 x ^ { - 3 }y=4x2+9x+5x−3

Find the Second Derivative $y = 4 x ^ { 2 } + 9 x + 5 x ^ { - 3 }$