finding the extreme values for function f(x) = x ln x

[etidd]

hello everyone,

this is my first post here.

i'm trying to find the extreme values for this function.

f(x) = x ln x
(product rule)
f '(x) = ln x + (1/x * x)
f '(x) = ln x

this is how far i have gotten. the back of my book says the answer is x = 1/e.

 

[Deleted member 4993]

hello everyone,

this is my first post here.

i'm trying to find the extreme values for this function.

f(x) = x ln x
(product rule)
f '(x) = ln x + (1/x * x)
f '(x) = ln x + 1

this is how far i have gotten. the back of my book says the answer is x = 1/e.

For local extrema

f'(x) = 0