If y 8x 3 - 3x 2 7x - 1 find frac mathrm d 2 y ... - JAMB Mathematics 2019 Question
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 option: a
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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