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

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

A) $g^{\prime}(x) =3 x^{2}+5 x ; g^{\prime}(1) =8$
B) $g^{\prime}(x) =3 x^{2}+5 ; g^{\prime}(1) =8$
C) $g^{\prime}(x) =3 x+5 ; g^{\prime}(1) =8$
D) $g^{\prime}(x) =3 x ; g^{\prime}(1) =3$