Find

Upper G prime left parenthesis w right parenthesisG$($w$)$

if

Upper G left parenthesis w right parenthesisG$($w$)$equals$=$StartFraction $2$ Over $5$ w Superscript $6$ EndFraction plus $725$w$6+7$StartRoot w EndRootw.

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Part $1$

Upper G prime left parenthesis w right parenthesisG$($w$)$equals$=$enter your response here.