Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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)#.

Related questions

See all questions in Identifying Stationary Points (Critical Points) for a Function

Impact of this question

1318 views around the world

You can reuse this answer
Creative Commons License