Find $f^{\prime}(x)$ For the Function, Then Find $f^{\prime}(x)$ For the Given $x$
-

Multiple Choice

Find $f^{\prime}(x)$ for the function, then find $f^{\prime}(x)$ for the given $x$ .
- $g(x) =\frac{5}{(x-3) }, g^{\prime}(1)$

A) $\mathrm{g}^{\prime}(\mathrm{x}) =\frac{5}{(\mathrm{x}-3) ^{2}} ; \mathrm{g}^{\prime}(1) =\frac{5}{4}$
B) $g^{\prime}(x) =5 x+15 ; g^{\prime}(1) =20$
C) $g^{\prime}(x) =5 x-15 ; g^{\prime}(1) =-10$
D) $\mathrm{g}^{\prime}(\mathrm{x}) =-\frac{5}{(\mathrm{x}-3) ^{2}} ; \mathrm{g}^{\prime}(1) =-\frac{5}{4}$