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1. |
If \[y={{(x\log x)}^{\log \,\log x}}\], then \[\frac{dy}{dx}=\] [Roorkee 1981] |
A. | \[{{(x\log x)}^{\log \log x}}\left\{ \frac{1}{x\log x}(\log x+\log \log x)+(\log \,\,\log x)\text{ }\left( \frac{1}{x}+\frac{1}{x\log x} \right)\text{ } \right\}\] |
B. | \[{{(x\log x)}^{x\log x}}\log \log x\left[ \frac{2}{\log x}+\frac{1}{x} \right]\] |
C. | \[{{(x\log x)}^{x\log x}}\log \log x\left[ \frac{2}{\log x}+\frac{1}{x} \right]\] |
D. | None of these |
Answer» B. \[{{(x\log x)}^{x\log x}}\log \log x\left[ \frac{2}{\log x}+\frac{1}{x} \right]\] | |