Sunday

March 29, 2015

March 29, 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!

**Answer this Question**

**Related Questions**

Math-Calculus (check please) - FOr the function f(x)=x^2e^x Find the critical ...

Calculus (urgent!!) - Please answer the following questions about the function f...

Calculus (pleas help!!!) - Please answer the following questions about the ...

Calculus (pleas help!!!) - Please answer the following questions about the ...

Calculus - Find the interval(s) where the function is increasing and the ...

Algebra - Im having a hard time figuring out this problem: Use the function, y...

Please check my Calculus - 1. Given f(x)=-6/x, choose the correct statement A. ...

Math - Find the critical points and the interval on which the given function is ...

Calculus - a) find the intervals on which f is increasing or decreasing. Is it...

calculus - y=x^3-3x. Fill out the following table and then make a rough sketch ...