Find the derivative: f(x)=ln (lnx) Help!! i don't know where to start!! Do i use product rule?

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Find the derivative: f(x)=ln (lnx) Help!! i don't know where to start!! Do i use product rule?

Mathematics
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you'll use the chain rule actually
have you learned that rule?
|dw:1441070107450:dw|

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Other answers:

|dw:1441070124683:dw|
|dw:1441070149590:dw|
so f(x) = Ln(x) g(x) = Ln(x) h(x) = f(g(x)) = Ln(Ln(x))
hopefully that helps?
can anyone show all the steps? I'm still a little confused...
if we had f(x) = Ln(x), what would be the derivative?
1/x
yes, now what we do is replace the 'x' with Ln(x) |dw:1441070946608:dw|
or put another way, we replace x with g(x) = Ln(x)
and then we multiply by the derivative of the inside we multiply by g ' (x)
g(x) = Ln(x) g ' (x) = 1/x |dw:1441071005586:dw|
ok got it!! thanks so much!!
here's a page with tons of chain rule practice problems https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/chainruledirectory/ChainRule.html they have detailed solutions to help explain and help you practice more
Thanks! :)
no problem

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