Question: Find the derivatives of

1. \(4{{x}^{19/2}}+3{{x}^{-5/2}}\)
2. \(f\left( x \right)={{\cos }^{4}}\left( {{x}^{8}} \right)\)
3. \(f\left( x \right)=\sqrt{\sin \sqrt{x}}\)
4. \(f\left( x \right)=-6{{e}^{-10{{x}^{4}}}}\)
5. \(f\left( x \right)=8{{e}^{x\sin x}}\)
6. \(f\left( x \right)=\frac{x+\ln \left( {{x}^{2}}+1 \right)}{{{x}^{2}}+\sin x}\)

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