Question

f(x) = x - 1/6X^2 - 2/3lnX
a) List the Vertical and horizontal asymptote.
b) The intervals of increase and decrease.
c) The local max and min values.
d) Intervals of concavity.
Please help!

Answer 1

is the function this?
\[\huge f(x)=x-\frac{1}{6}x^2-\frac{2}{3}lnx \]
or is it
\[\huge f(x)=x-\frac{1}{6x^2}-\frac{2}{3lnx} \]

Answer 2

http://www.wolframalpha.com/input/?i=x-%281%2F6%29x^2-%282%2F3%29log%28x%29

asymptote at x=0
for increasing/decreasing look at when derivative is either pos/neg
for concavity look at when 2nd derivative is pos/neg