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Differentiate the functions with respect to $x: \large \frac{ sin\; (ax + b) } { cos \;( cx + d)} $

$\begin{array}{1 1} a.sin(ax+b)sec(cx+d)+csin(ax+b)tan(cx+d)sec(cx+d) \\ a.sin(ax+b)sec(cx+d)-csin(ax+b)tan(cx+d)sec(cx+d) \\ a.sin(ax+b)cosec(cx+d)+csin(ax+b)cot(cx+d)sec(cx+d) \\ a.sin(ax+b)cosec(cx+d)-csin(ax+b)cot(cx+d)sec(cx+d)\end{array} $

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