If y = f (x) φ (x) , then dy dx is

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. 
2. \(\frac{\phi(\mathrm{x})}{\mathrm{f}(\mathrm{x})}\left(\frac{\mathrm{df}(\mathrm{x})}{\mathrm{dx}}\right)+\frac{\mathrm{d} \phi(\mathrm{x})}{\mathrm{dx}} \log \mathrm{f}(\mathrm{x})\)
3. \(e^{\phi(x) \log f(x)}\left\{\phi(x) \frac{f^{\prime}(x)}{f(x)}+\phi^{\prime}(x) \log f^{\prime}(x)\right\}\)
4. None of these

Answer

(A)

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