imo class 12 application of derivatives

Find the slope of the tangent to the curve y = 3x⁴ - 4x at x = 4.

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Find the slope of the tangent to the curve y = 3x⁴ - 4x at x = 4.

  • A. 746
  • B. 754
  • C. 768
  • D. 764

Answer: D) 764

Explanation: dy/dx = 12x³ - 4. At x = 4, dy/dx = 12(64) - 4 = 768 - 4 = 764.

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