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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
25763 Points
2 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

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