I am stuck with this problem, please help me.
I have to differentiate the function:
$y = \frac{x^{n+1}}{n+1} (\ln {x} - \frac{1}{n+1})$
The solution is $x^n \ln{x}$.
I just can't understand the process of getting the solution.
2026-04-26 02:05:38.1777169138
How can I differentiate this function?
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Just use the product rule: $$\frac{dy}{dx} = \frac{d}{dx}\left(\frac{x^{n+1}}{n+1}\right)\cdot\left(\ln x - \frac{1}{n+1}\right) + \frac{x^{n+1}}{n+1}\cdot\frac{d}{dx}\left(\ln x - \frac{1}{n+1}\right).$$