Complicated derivative problem

[demonelite123]

d/du [((u⁽ⁿ⁺¹⁾)/(n+1)²) ((n+1) ln(u) - 1)]

how would you take the derivative of this large complicated function?

 

[Mark44]

First, bring out the factor of 1/(n + 1)^2, since it doesn't depend on u. Then use the product rule on u^(n+1)*((n + 1) ln(u) - 1)

 

[demonelite123]

so would "n" be a constant in this problem? i took the derivative and i got something like this:

(u⁽ⁿ⁺¹⁾(n+1)(ln u))(n+1)(lnu - 1) + (u⁽ⁿ⁺¹⁾)(n+1)(1/u)

all of that over (n+1)². is this right?

 

[xaos]

you still need to decrement the power after differentiation. all of this simplifies considerably.
[edit] you shouldn't have two (ln u) terms.