Evaluate
\left\{\begin{matrix}\infty,&\left(f<0\text{ and }\exists n_{3}\in \mathrm{Z}\text{ : }\left(t>\pi n_{3}-\frac{\pi }{2}\text{ and }t<\pi n_{3}\right)\right)\text{ or }\left(f>0\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }\left(t>\pi n_{2}\text{ and }t<\pi n_{2}+\frac{\pi }{2}\right)\right)\\0,&\exists n_{1}\in \mathrm{Z}\text{ : }t=\frac{\pi n_{1}}{2}\text{ or }f=0\\-\infty,&\left(f>0\text{ and }\exists n_{3}\in \mathrm{Z}\text{ : }\left(t>\pi n_{3}-\frac{\pi }{2}\text{ and }t<\pi n_{3}\right)\right)\text{ or }\left(f<0\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }\left(t>\pi n_{2}\text{ and }t<\pi n_{2}+\frac{\pi }{2}\right)\right)\end{matrix}\right.
Differentiate w.r.t. f
\text{Indeterminate}
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