Question

Can somebody please explain the proof that allows the formulation of the arc length formula from the Mean Value Theorem of Calculus? :-)

Answer 1

the arc is just a portion of the circumference

Answer 2

No circumference here. And yes I'm aware of the classic definition of the derivative.
\[ \huge \lim_{{\triangle x}

\rightarrow 0} \frac{f(x+\triangle

x)+f(x)}{\triangle x} \]