https://file.aiquickdraw.com/mathbot/file/1737355015915huek2vx2.jpg

The problem in the image asks to find the maximum and minimum values of the function:

\[
y = \sqrt{\frac{1 + x}{\ln x}}
\]

on the interval \((1, e)\). 

To solve this, we need to:

1. **Find the first derivative** of the function to locate critical points.
2. **Determine the values of the function at the endpoints** of the interval: \(x = 1\) and \(x = e\).
3. **Evaluate the critical points** and compare them to the function values at the endpoints to determine the maximum and minimum values.

Would you like to proceed with the detailed solution steps, or do you have specific questions?

Найти наибольшее и наименьшее значение функции y = √((1 + x) / ln(x)) на промежутке (1, e)

Learn how to find the maximum and minimum values of the function y = √((1 + x) / ln(x)) on the interval (1, e). This problem involves finding the derivative, locating critical points, and analyzing the endpoints. Suitable for students in Grades 11-12 studying calculus.

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