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What are the critical numbers of #f(x) = x^2*(1 + 3 ln x)#?

1 Answer

Mar 17, 2017

The only critical number is #x = e^(-5/6)#

Explanation:

#f'(x) = 2x(1+3lnx)+x^2(3/x)= x(6lnx+5)#

#f'(x)# is defined for all #x# in the domain of #f# and

#f'(x)=0# at #lnx = -5/6# so #x = e^(-5/6)#.

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