(Solved): Determine \( F^{\prime}(x) \) when 1. \( F^{\prime}(x)=3 x^{2} \sqrt{1+x^{4}} \) \( F(x)=\int_{4}^{ ...

Determine \( F^{\prime}(x) \) when 1. \( F^{\prime}(x)=3 x^{2} \sqrt{1+x^{4}} \) \( F(x)=\int_{4}^{x^{2}} 3 \sqrt{1+t^{2}} d t \) 2. \( F^{\prime}(x)=\frac{3 x^{2}}{\sqrt{1+x^{4}}} \) 3. \( F^{\prime}(x)=\frac{3 x}{\sqrt{1+x^{2}}} \) 4. \( F^{\prime}(x)=\frac{6 x}{\sqrt{1+x^{2}}} \) 5. \( F^{\prime}(x)=6 x \sqrt{1+x^{4}} \) 6. \( F^{\prime}(x)=6 x \sqrt{1+x^{2}} \)