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January 25, 2015

January 25, 2015

Posted by **mikki** on Wednesday, November 16, 2011 at 3:21am.

find the critical points , increasing & decreasing interval and concavity.Please just show me the steps on how to get the increasing and decreasing interval and critical pts . Thanks :)

- calculus -
**Steve**, Wednesday, November 16, 2011 at 6:00amJust use your derivatives.

f = x^2 lnx

f' = 2x*lnx + x^2 * 1/x = x(2lnx + 1)

f' = 2lnx + 2x*1/x + 1 = 2lnx + 3

Now, f is increasing when f' > 0

f is concave up when f'' > 0

max/min is where f' = 0 and f'' =/= 0

inflection where f'' = 0

Go for it!

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