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Find the value of the derivative of y = 3x\(^2\) (2x +1) with respect to...

Further Mathematics
WAEC 2021

Find the value of the derivative of y = 3x\(^2\) (2x +1) with respect to x at the point x = 2. 

  • A. 72
  • B. 84
  • C. 96
  • D. 120
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Correct Answer: Option B
Explanation

y 3x\(^2\) (2x +1) = 6x\(^3\) + 3x\(^2\)

dy/dx = 18x\(^2\) + 6x

At x = 2, 18(2)\(^2\) + 6(2)

= 72 + 12 = 84


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