Search any question & find its solution
Question:
Answered & Verified by Expert
If $y=2^{x / \ln x}$ then $\frac{d y}{d x}$ at $x=e$ is
Options:
Solution:
1516 Upvotes
Verified Answer
The correct answer is:
0
$\log y=\frac{x}{\log x} \log 2$
$\left.\Rightarrow \frac{\mathrm{dy}}{\mathrm{dx}}\right]_{\mathrm{x}=\mathrm{e}}=0$
$\left.\Rightarrow \frac{\mathrm{dy}}{\mathrm{dx}}\right]_{\mathrm{x}=\mathrm{e}}=0$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.