On my calculus exam, there was a question asking "Is the Golden Ratio differentiable? If so, use the definition of a derivative to show it."
The "definition of a derivative" is $f'(x)=\displaystyle\lim_{h\to 0}\frac{f(x+h) - f(x)}h$
Is this possible? I've already taken the exam, so now I'm just curious as to what the real answer is.
Edit: That was all the question asked. I'm assuming it is referring to the definition of the golden ratio, $\varphi = \frac{1 + \sqrt 5}2.$
Edit 2: Sorry about my formatting. It's atrocious, I know. Gotta love mobile.