imo class 12 continuity and differentiability

If y = xˣ + (sin x)ᶜᵒˢ ˣ, then the derivative is found using:

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If y = xˣ + (sin x)ᶜᵒˢ ˣ, then the derivative is found using:

  • A. Logarithmic differentiation
  • B. Chain rule only
  • C. Product rule only
  • D. Implicit differentiation only

Answer: A) Logarithmic differentiation

Explanation: Both terms have variable base and exponent, so logarithmic differentiation is needed.

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