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If f(x) = loga loga(x), then f'(x) is : |
$\frac{\log _a e}{x \log _e x}$ $\frac{\log _e a}{x \log _a x}$ $\frac{\log _e a}{x}$ $\frac{x}{\log _e a}$ |
$\frac{\log _a e}{x \log _e x}$ |
$f'(x)=\frac{1}{\log _a x} .\left(\log _a e\right) . \frac{d}{d x}\left(\log _a x\right)$ $=\frac{\log _a e}{\log _a x} . \frac{1}{x} . \log _a e=\frac{\log _a e}{x} . \frac{\log _a e}{\log _a x}=\frac{\log _a e}{x \log _e x}$ Hence (1) is correct answer. |
