imo class 12 application of derivatives

The slope of the tangent to the curve y = √(3x + 1) at the point whose x-coordinate is 1 is:

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The slope of the tangent to the curve y = √(3x + 1) at the point whose x-coordinate is 1 is:

  • A. 3/4
  • B. 1/4
  • C. 1/2
  • D. 3/2

Answer: A) 3/4

Explanation: dy/dx = 3/(2√(3x + 1)). At x = 1, dy/dx = 3/(2√4) = 3/4.

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