# Increasing/Decreasing

• April 16th 2009, 05:46 PM
Shyam
Increasing/Decreasing
For x>0, f is a function that

$f'(x)=\frac{\ln x}{x},\;\; f''(x)=\frac{1-\ln x}{x^2}$

Which of the following is true?

(a) f is decreasing for x>1, and graph of f is concave down for x>e
(b) f is decreasing for x>1, and graph of f is concave up for x>e
(c) f is increasing for x>1, and graph of f is concave down for x>e
(d) f is increasing for x>1, and graph of f is concave up for x>e
(e) f is increasing for 0<x<e, and graph of f is concave down for $0
• April 16th 2009, 06:06 PM
Calculus26
Consider the graph of ln(x)