Find the Derivative of the Function $f(x)=\left(x^{2}-2 x+2\right)\left(5 x^{3}-x^{2}+4\right)$ A) $f^{\prime}(x)=25 x^{4}-40 x^{3}+36 x^{2}+4 x-8$

Multiple Choice

Find the derivative of the function.
- $f(x) =\left(x^{2}-2 x+2\right) \left(5 x^{3}-x^{2}+4\right)$

A) $f^{\prime}(x) =25 x^{4}-40 x^{3}+36 x^{2}+4 x-8$
B) $f^{\prime}(x) =5 x^{4}-40 x^{3}+36 x^{2}+4 x-8$
C) $f^{\prime}(x) =5 x^{4}-44 x^{3}+36 x^{2}+4 x-8$
D) $f^{\prime}(x) =25 x^{4}-44 x^{3}+36 x^{2}+4 x-8$