0

Guest

Courses New

Show that the function f(x) =x2/2+lnx-2cosx is an increasing function for x=R+

Show that the function f(x) =x2/2+lnx-2cosx is an increasing function for x=R+

Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
f’(x) = x + 1/x + 2 sin x
 
now we know thqt x+ 1/x will always we greater than 2 sin x
 
hence f’(x) is positive always .
 
hence f(x) is an increasing function

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More