CUET Mathematics - If y = (log x)^(log x), x > 1 then dy/dx is equal to | PYQs + Solutions

CUET Mathematics 2025 16 May Shift 1

Calculus

Medium

common

$\log x \left[\frac{1 + \log(\log x)}{x}\right], x > 1$

$(\log x)^{\log x} \left[\frac{1 + \log x}{x}\right], x > 1$

$(\log x)^{\log x} \left[\frac{x + \log(\log x)}{x}\right], x > 1$

$(\log x)^{\log x} \left[\frac{1 + \log(\log x)}{x}\right], x > 1$

✅ Correct Option: 4

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CUET Mathematics 2025 16 May Shift 1 PYQs