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If $\mathrm{f}^{\prime}(\mathrm{x})<0 \forall \mathrm{x} \in(\mathrm{a}, \mathrm{b})$ and c is a point such that $\mathrm{a}<\mathrm{c}<\mathrm{b}$, and (c, $\left.\mathrm{f}(\mathrm{c})\right)$ is the point lying on the curve for which $\mathrm{F}(\mathrm{c})$ is maximum, then $f^{\prime}(c)$ is equal to
Select the correct option:
A
$\frac{f(b)-f(a)}{b-a}$
B
$\frac{2(f(b)-f(a))}{b-a}$
C
$\frac{2 f(b)-f(a)}{2 b-a}$
D
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