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Find the derivativeof the function y = 2x\(^2\)(2x - 1) at the point x = -1?

Find the derivative of the function y = 2x\(^2\)(2x - 1) at the point x = -1?
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  • A 18
  • B 16
  • C -4
  • D -6
Correct Answer: Option B
Explanation:

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

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