Find the indicated derivative. \[ y^{\prime} \text { for } y=\left(3 x^{3}+5 x^{2}\right)(4 x-3) \] \( y^{\prime}=\square \)

Question Given \( F(x) \) below, find \( F^{\prime}(x) \). \[ F(x)=\int_{1}^{2 x^{2}} \frac{t}{t-1} d t \]

Question Given \( F(x) \) below, find \( F^{\prime}(x) \) \[ F(x)=\int_{2}^{e^{x}}\left(t^{3}+8\right) d t \]

Question Given \( f(x) \) below, find \( f^{\prime}(x) \) \[ f(x)=\int_{\sqrt{x}}^{x^{3}} t^{4} d t \]

\begin{tabular}{l} Question \\ Given \( F(x) \) below, find \( F^{\prime}(x) \). \( F(x)=\int_{x}^{5} \sqrt{2 t-2} d t \) \\ Provide your answer below: \\ \hline\( F^{\prime}(x)=\square \)\end{tabular}

Question Given \( f(x) \) below, find \( f^{\prime}(x) \). \[ f(x)=\int_{4 x}^{x^{3}}\left(t^{3}-11\right)^{7} d t \]