A function \( g \) defined for all positive real numbers, \( \mathr...

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A function \( g \) defined for all positive real numbers,
\( \mathrm{P} \) satisfies \( g^{\prime}\left(x^{2}\right)=x^{3} \) for all \( x0 \) and \( g(1)=1 \).

W Compute \( g(4) \).
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