The Functions $f$ And $F$ Are Given By $f(x)=k x^{p}$ And $F(x)=\sqrt{\frac{k x^{p-1}}{p}}$
Suppose

Multiple Choice

The functions $f$ and $F$ are given by $f(x) =k x^{p}$ and $F(x) =\sqrt{\frac{k x^{p-1}}{p}}$ .
Suppose $f(x) =\frac{x^{11}}{6}$ . What must $F$ be?

A) $F=\frac{1}{\sqrt{66}} x^{5}$
B) $F=\sqrt{\frac{6}{11}} x^{5}$
C) $F=\sqrt{\frac{x^{5}}{66}}$
D) $F=\frac{1}{\sqrt{66}} x^{10}$