COMEDK · Maths · 26. Differentiation
The differential coefficient is \(f(\sin x)\) with respect to \(x\) where \(f(x)+\log x\) is
- A \(\tan x\)
- B \(\cot x\)
- C \(f(\cos x)\)
- D \(\frac{1}{x}\)
Answer & Solution
Correct Answer
(B) \(\cot x\)
Step-by-step Solution
Detailed explanation
We have, \(f(x)=\log x\) \(\therefore \quad f(\sin x)=\log \sin x\) On differentiating both sides w.r.t. \(x\), we get \(\frac{d}{d x} f(\sin x)=\frac{1}{\sin x} \cdot \cos x=\cot x\)
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