imo class 12 continuity and differentiability

The derivative of log₁₀(x) with respect to x is:

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The derivative of log₁₀(x) with respect to x is:

  • A. 1/x
  • B. 1 / (x logₑ10)
  • C. logₑ10 / x
  • D. 1 / (x log₁₀e)

Answer: B) 1 / (x logₑ10)

Explanation: Using change of base, log₁₀(x) = (logₑ x) / (logₑ 10). The derivative is 1 / (x logₑ 10).

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