Complicated derivative problem

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In summary, to find the derivative of the function d/du [((u(n+1))/(n+1)2) ((n+1) ln(u) - 1)], first factor out 1/(n+1)^2, then use the product rule on u^(n+1)*((n+1) ln(u) - 1). The result should be simplified by decrementing the power and eliminating duplicate (ln u) terms.
  • #1
demonelite123
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d/du [((u(n+1))/(n+1)2) ((n+1) ln(u) - 1)]

how would you take the derivative of this large complicated function?
 
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  • #2
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)
 
  • #3
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?
 
  • #4
you still need to decrement the power after differentiation. all of this simplifies considerably.
[edit] you shouldn't have two (ln u) terms.
 

1. What is a complicated derivative problem?

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