Question

Find the intervals where the function is increasing and decreasing.

Answer 1

f(x)=x^2-x-lnx

Answer 2

\[f'x=2x-1-\frac{ 1 }{ x }\]

Answer 3

hello :)

Answer 4

\[\frac{ 2x^2-x-1 }{ x }\]

Answer 5

\[\frac{ (2x+1)(x-1) }{ x }\]

Answer 6

critical points = -1/2 , 1 , 0

Answer 7

I am here keep it up.

Answer 8

i am messing up here, the book does not include -1/2

Answer 9

it says it is increasing from (1,infinity) decreasing from (0,1)

Answer 10

with no mention of -1/2

Answer 11

Forget about the book since it is incorrect, and make a sign chart.
Can you do that?

Answer 12

Great you are absolutely correct

Answer 13

hmm, i wonder why the book says that, must be some error ;)

Answer 14

thank you @Zekarias !!!!

Answer 15

it is human who wrote the book. we humans are always with mistakes.