# Differentiate the function. g(x)=3x^(-3)(x^4 -3x^3 +15x-4)

Differentiate the function.
$g\left(x\right)=3{x}^{-3}\left({x}^{4}-3{x}^{3}+15x-4\right)$
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Anaya Gregory
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so that simplifies to $3x-9+45{x}^{-2}-12{x}^{3}$
now differentiate the above funt
$g\left(x\right)=3x-9+45{x}^{-2}-12{x}^{3}$
${g}^{\prime }\left(x\right)=3-0-90x-36{x}^{2}$
${g}^{\prime }\left(x\right)=3-90x-36{x}^{2}$
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Donna Flynn
$g\left(x\right)=3{x}^{-3}\left({x}^{4}-3{x}^{3}+15x-4\right)$
First multiply $g\left(x\right)=3{x}^{-3}\left({x}^{4}-3{x}^{3}+15x-4\right)=3x-9+45{x}^{-2}-12{x}^{-3}$
Now differentiate using the power rule which is $\frac{d}{dx}\left[{x}^{n}\right]=n{x}^{n-1}$
So,