Find the Derivative of the Function $f(x)=\left(x^{2}-3 x+2\right)\left(3 x^{3}-x^{2}+5\right)$ A) $f^{\prime}(x)=15 x^{4}-36 x^{3}+27 x^{2}+6 x-15$

Multiple Choice

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

A) $f^{\prime}(x) =15 x^{4}-36 x^{3}+27 x^{2}+6 x-15$
B) $f^{\prime}(x) =3 x^{4}-36 x^{3}+27 x^{2}+6 x-15$
C) $f^{\prime}(x) =15 x^{4}-40 x^{3}+27 x^{2}+6 x-15$
D) $f^{\prime}(x) =3 x^{4}-40 x^{3}+27 x^{2}+6 x-15$