Find the derivative of the function y = 2x\(^2\)(2x - 1) at the point x = -1?
A
18
B
16
C
-4
D
-6
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
y = 2x\(^2\)(2x - 1)
y = 4x\(^3\) - 2x\(^2\)
dy/dx = 12x\(^2\) - 4x
at x = -1
dy/dx = 12(-1)\(^2\) - 4(-1)
= 12 + 4
= 16
Source: WAEC / JAMB / NECO Classroom Archive (Record #60666)