You've misunderstood the whole thing!
Definition: A fixed point of a function g(x) is a number p such that p = g(p).
Caution. A fixed point is not a root of the equation 0 = g(x), it is a solution of the equation x = g(x).
Geometrically, the fixed points of a function g(x) are the...
"Calculations" of this kind possess no conclusive power.
For example:
\lim_{x\rightarrow0}\frac{e^x-1}{x}
Differentiating the numerator and the denominator gives:
\lim_{x\rightarrow0}\frac{e^x}{1}=1
But to know that D(e^x) = e^x we must master \lim_{x\rightarrow0}\frac{e^x-1}{x}
It takes Ronald McDonald 1 minute to cross, the Hambugular 2 minutes to cross, ther French Fry Guy 5 minutes to cross, and Grimace 10 minutes to cross.
(->) Ronald McDonald and Hambugular: 2min.
(<-) Ronald McDonald: 1min.
(->) French Fry Guy and Grimace: 10min
(<-) Hambugular: 2min...