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# If f(x)=alnx-a 3 x has a local minimum when x=4 and a does not equal 0, what is a?

If f(x)=alnx-a3x has a local minimum when x=4 and a does not equal 0, what is a?

a.-1/4

b.1/4

c.-1/2

d.1/2

e.-1

f.1

g.-2

h.2

Here is a detailed explanation... View the full answer

• Why is it negative 1/2? Thank you!
• katievorsa
• Sep 05, 2018 at 12:05pm
• Because it is local minimum, if we take +1/2, it would be local maximum.
• Tutor.kelvin
• Sep 05, 2018 at 12:06pm
• Gotcha. Thank you so much!
• katievorsa
• Sep 05, 2018 at 12:07pm

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