Math Help - function

1. function

g(x)= |_x_|

What do these brackets mean?

2. Originally Posted by summerset353
g(x)= |_x_|

What do these brackets mean?
It's the largest integer less than or equal to x

3. would the derivative of |_x_| be equal to 1? Or is it different because of the brackets?

4. Originally Posted by summerset353
would the derivative of |_x_| be equal to 1? Or is it different because of the brackets?
Well looking at x on the interval [0,1), g(x) = 0 for all x....

5. Originally Posted by summerset353
would the derivative of |_x_| be equal to 1? Or is it different because of the brackets?
Is the function even continuous? If you look at the function $fn,n+1)\mapsto\mathbb{R},\text{ }n\in\mathbb{N}" alt="fn,n+1)\mapsto\mathbb{R},\text{ }n\in\mathbb{N}" /> with $f(x)=\left \lfloor x\right\rfloor$ then in fact $f(x)=1$. And so $f'(x)=0$.