Find the Derivative of the Function $y=\left(3 x^{2}+5 x+1\right)^{3 / 2}$

Multiple Choice

Find the derivative of the function.
- $y=\left(3 x^{2}+5 x+1\right) ^{3 / 2}$

A) $y^{\prime}=\frac{3}{2}(6 x+5) \left(3 x^{2}+5 x+1\right) ^{1 / 2}$
B) $y^{\prime}=\frac{3}{2}\left(3 x^{2}+5 x+1\right) ^{1 / 2}$
C) $y^{\prime}=\left(3 x^{2}+5 x+1\right) ^{1 / 2}$
D) $y^{\prime}=(6 x+5) \left(3 x^{2}+5 x+1\right) ^{1 / 2}$