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## Homework Statement

Let g be a function defined as [tex]g(x)=(\frac{1}{4})x^{2}-sin(x)[/tex]

Give a monotony table for g in the domain [tex][-\frac{\pi}{2},\frac{\pi}{2}][/tex]

## The Attempt at a Solution

I calculated the first derivative of g and i got g'(x)=(1/2)x-cos(x)

and then when I wanted to solve the equation (1/2)x-cos(x)=0 I found that there was no solution so we can't know if it increases or decreases.