how do u differentiate nlnnln(lnn)? i have the answer but I dont know how to do it. Please help explain how to differntiate 3 or more products.
Do you mean:
$\displaystyle n\cdot \ln(n) \cdot \ln(\ln(n))~,~n \in \mathbb R^+$ ?
If so split the product into two factors:
$\displaystyle \left(n\cdot \ln(n) \right) \cdot \left( \ln(\ln(n)) \right)~,~n \in \mathbb R^+$
Now use the product rule. To differentiate the factors use product rule (1rst factor) or chain rule(2nd factor) respectively.
I've got
$\displaystyle \ln(\ln(n)) \cdot (\ln(n) + 1) + 1$