The derivative of y=ln(2) is 0.
Remember that one of the properties of derivatives is that the derivative of a constant is always 0. If you view the derivative as the slope of a line at any given point, then a function that consists of only a constant would be a horizontal line with no change in slope. That is why the derivative of any constant is 0, meaning no changes anywhere.
If the natural log function, ln, only has a constant inside its parenthesis, then it is itself only a constant number. ln(2) is an actual number, with a value of around 0.6931472. Because of that quality of logarithms, we know that ln(c) (with c being any constant located in it's domain) will always have a derivative of 0.
