If y = 8x(^3) – 3x(^2) + 7x – 1, find (frac{mathrm d^2 y}{mathrm d x^2}).
-
A.
48x – 6 -
B.
11x(^2) + 6x – 7 -
C.
32x + 7 -
D.
24x(^2) – 6x + 7
Correct Answer: Option A
Explanation
y = 8x(^3) – 3x(^2) + 7x – 1
(frac{mathrm d^2 y}{mathrm d x^2} = frac{mathrm d}{mathrm d x} (frac{mathrm d y}{mathrm d x}))
= (frac{mathrm d}{mathrm d x} (24x^2 – 6x + 7))
(frac{mathrm d^2 y}{mathrm d x^2} = 48x – 6)
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