5. \( \sum_{n=2}^{\infty} \frac{5}{\sqrt{n^{3}-3 n+6}} \)

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

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

Find \( \frac{\mathrm{dy}}{\mathrm{dx}} \) for function, \( y=\frac{3 x^{2}}{\sqrt{2 x^{2}+3}} \)

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