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Class 12 Continuity And Differentiability · Conceptual Answer1 Markslogarithmic_differentiation

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #44

Differentiate log₁₀x for x>0.

✅ Step-by-Step Solution

Final Answer: 1/(x ln10)
  1. Change base: log₁₀x=ln x/ln10. Differentiating gives (1/ln10)(1/x).
  2. 1/(x ln10)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Change base: log₁₀x=ln x/ln10. Differentiating gives (1/ln10)(1/x).
  • [0.5 marks] 1/(x ln10)

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