Differentiate the function.

g left parenthesis x right parenthesis equals $5$ x Superscript negative $3$ Baseline left parenthesis x Superscript $4$ Baseline minus $5$ x cubed plus $8$ x minus $3$ right parenthesisg$($x$)=5$x$3$x$45$x$3+8$x$3$

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Part $1$

g prime left parenthesis x right parenthesis equalsg$($x$)=$enter your response here