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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Q141 Marksparametric_derivatives

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Question 14 (Continuity And Differentiability)

Differentiate \(\ln(\sin x)\) with respect to \(\sqrt{\cos x}\) where both derivatives are defined and the denominator derivative is nonzero.

✅ Step-by-Step Solution

Final Answer: −2√(cos x) cot x csc x
  1. The two x-derivatives are cot x and −sin x/(2√(cos x)). Divide the first by the second.

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