imo class 12 continuity and differentiability

If y = xˣ, then dy/dx at x = 1 is:

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If y = xˣ, then dy/dx at x = 1 is:

  • A. 1
  • B. 0
  • C. e
  • D. −1

Answer: A) 1

Explanation: log y = x log x, y′/y = log x + 1. At x=1, y=1, y′ = 1×(0+1)=1.

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