imo class 12 continuity and differentiability

Find the second derivative (d²y/dx²) of y = log x.

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Find the second derivative (d²y/dx²) of y = log x.

  • A. 1/x
  • B. −1/x²
  • C. 1/x²
  • D. −1/x³

Answer: B) −1/x²

Explanation: First derivative is dy/dx = 1/x = x⁻¹. Second derivative is d/dx(x⁻¹) = −1 x⁻² = −1/x².

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