n is a constant. Usually variables are letters in the last part of the alphabet.
So, if you mean
x^(n+1) / (n+1)
then using the power rule, the derivative is
(n+1)x^(n+1-1) / (n+1) = x^n
If you meant what you wrote, then the derivative is
(nx^(n-1)+0)/(n+1) = n/(n+1) x^(n-1)
for example,
d/dx x^(4+1)/5 = d/dx x^5/5 = x^4
d/dx (x^4+1)5 = 4/5 x^3
Find d/dx((x^n+1)/(n+1))
I took photo of my textbook
ufile.io/vn0vh
Please go to the link . Is n here constant or variable?
Is there any need to use quotient rule??
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