What are the first and second derivatives of # g(x) =x^2/(lnx)^2#?
We can use the product rule, the quotient rule, or the chain rule with logs. To make our life easier I'll use log derivativing.
Take the log of both sides
Use log properties
To derivate again, do the same thing, now skipping over some steps
Multiply both sides by
Or, using algebra to tie it all together
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