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Cauchy's Mean Value Theorem in Ratio Form
Under the conditions of Cauchy's Mean Value Theorem:
$$\frac{f(b)-f(a)}{g(b)-g(a)}=\frac{f'(c)}{g'(c)}$$
for some $$c\in(a,b)$$.
Usage
- Used to compare the rates of change of two functions.
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Cauchy's Mean Value Theorem in Ratio Form
Under the conditions of Cauchy's Mean Value Theorem:
$$\frac{f(b)-f(a)}{g(b)-g(a)}=\frac{f'(c)}{g'(c)}$$
for some $$c\in(a,b)$$.
Usage
- Used to compare the rates of change of two functions.
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