KCET · Maths · Differentiation
The derivative of \(\sin x\) with respect to \(\log x\) is
- A \(\cos x\)
- B \(x \cos x\)
- C \(\frac{\cos x}{\log x}\)
- D \(\frac{\cos x}{x}\)
Answer & Solution
Correct Answer
(B) \(x \cos x\)
Step-by-step Solution
Detailed explanation
\(\frac{f(x)}{g(x)}=\frac{d(\sin x)}{d(\log x)}=\frac{\frac{d(\sin x)}{d x}}{\frac{d(\log x)}{d x}}=\frac{\cos x}{\frac{1}{x}}=x \cos x\)
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