Find the derivatives of the following functions.
(a) f ( x ) = ln ( x 2 − 1 x 2 + 1 ) {\displaystyle f(x)=\ln {\bigg (}{\frac {x^{2}-1}{x^{2}+1}}{\bigg )}}
(b) g ( x ) = 3 sin ( 4 x ) + 4 tan ( 1 + x 3 ) {\displaystyle g(x)=3\sin(4x)+4\tan({\sqrt {1+x^{3}}})}
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