$x=(\log x)^{\tan y}$, then $\frac{d y}{d x}$ is
Answer & explanation
Correct answer: option 4
$x=(\log x)^{\tan y} \Rightarrow \log x=\tan y \log \log x$
$\tan y=\frac{\log x}{\log \log x}$
Hence (4) is correct answer.
$x=(\log x)^{\tan y}$, then $\frac{d y}{d x}$ is
Correct answer: option 4
$x=(\log x)^{\tan y} \Rightarrow \log x=\tan y \log \log x$
$\tan y=\frac{\log x}{\log \log x}$
Hence (4) is correct answer.