imo class 12 application of derivatives

The slope of the normal to the curve y = 2x² + 3 sin x at x = 0 is:

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The slope of the normal to the curve y = 2x² + 3 sin x at x = 0 is:

  • A. 1/3
  • B. −1/3
  • C. 3
  • D. −3

Answer: B) −1/3

Explanation: dy/dx = 4x + 3 cos x. At x = 0, slope of tangent = 3. Slope of normal = −1/3.

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