Lol you can't do that, please read some math books before trying to prove me wrong.
if f(x)=x, you can't say f(x)=x=1; f(x)=x is a completely different function than f(x)=1.
Therefore their derivates will be different; in this case d(x)/dx=1 and d(1)/dx=0
You are confusing a function with the value of a function at one given point.
Your function in this case is f(x)=x, while your function at the point one f(1)=1.
When you derivate your function you get d(x)/dx = 1. Now no matter what's the value of x, the derivate will always take the value of 1. So his initial proposition was false.
If you think that what I'm saying is wrong, then prove me wrong.
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