Question: Find the derivatives of the following functions. Do not simplify your answers.

1. \(f(x)=\arctan x-5^{x^{2}}+3 x^{\pi}\)
2. \(y=e^{5 \tan x} \cos 3 x\)
3. \(y=\frac{3 x+2}{(2 \ln x-\cosh x)^{2}}\)
4. \(y=\log _{5}\left(\frac{\operatorname{sech}^{3} x}{\sqrt{5 x+1}}\right)\)
5. \(f(x)=\sin ^{-1} \sqrt{x}\)
6. \(y=(1+\cot 2 x)^{\sin x}\)

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