Question

Determine the inflection points of f(x)=x-lnx if any !!! HELP PLEASE THANK YOU

Answer 1

Take the second derivative of f and set it = zero.

Answer 2

I have -1/x^2

Answer 3

for my second derivative

Answer 4

It actually is 1/x^2: there is no value of x that makes the second derivative = zero.

Convex (concave up) all the way.

Answer 5

I forgot about the minus sign. What is my next step

Answer 6

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

What value of x makes this expression = zero?