Question $5,3\mathrm{.}4\mathrm{.}1$

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Part $1$

Find and simplify the derivative of the following function.

$f(x)=3x^4(2x^2-5)$

Which of the following shows how to find the derivative of $f(x)?$

A$.f^{\text{'}}(x)=(\frac{d}{dx}(3x^4))(2x^2-5)(3x^4)(\frac{d}{dx}(2x^2-5))$

B$.f^{\text{'}}(x)=\frac{(2x^2-5)(\frac{d}{dx}(3x^4))-(3x^4)(\frac{d}{dx}(2x^2-5))}{(2x^2-5{)}^2}$

c$.f^{\text{'}}(x)=\frac{(3x^4)(\frac{d}{dx}(2x^2-5))-(2x^2-5)(\frac{d}{dx}(3x^4))}{(3x^4{)}^2}$

D$.f^{\text{'}}(x)=(\frac{d}{dx}(3x^4))(3x^4)(2x^2-5)(\frac{d}{dx}(2x^2-5))$

Search ${?}^{-}$