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January 25, 2015

January 25, 2015

Posted by **Ray** on Thursday, November 1, 2012 at 10:36pm.

A) Find the interval on which f is increasing Find the interval on which f is decreasing

B) Find the local minimum value of f

C) find the inflection point (x,y)

Find the interval in which f is concave up

Find the interval in which f is concave down

- Calculus -
**Steve**, Friday, November 2, 2012 at 1:44amf' = 5x^4 lnx + x^4 = x^4(5lnx + 1)

f'' = 20x^3 lnx + 5x^3 + 4x^3 = x^3(20lnx + 9)

f' = 0 at x = 0 or e^(-1/5)

f'' = 0 at x=0 or e^(-9/20)

as you know

f increasing where f' > 0

min where f'=0 and f'' not zero

concave up where f'' > 0

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