imo class 12 continuity and differentiability

The rule for differentiating a product of two functions u(x) and v(x) is:

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The rule for differentiating a product of two functions u(x) and v(x) is:

  • A. u'v'
  • B. uv' + vu'
  • C. uv' − vu'
  • D. (uv' − vu') / v²

Answer: B) uv' + vu'

Explanation: The product rule states that the derivative of u(x)v(x) is u(x)v'(x) + v(x)u'(x).

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