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

Pawan joshi , 6 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 6 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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