[tex]\displaystyle\bf\\\Big(\frac{e^{x} }{Sinx} \Big)'=\frac{(e^{x})'\cdot Sinx-e^{x} \cdot(Sinx)' }{Sin^{2} x} =\frac{e^{x} \cdot Sinx-e^{x} \cdot Cosx}{Sin^{2} x} =\\\\\\=\frac{e^{x} \cdot(Sinx-Cosx)}{Sin^{2} x}[/tex]
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[tex]\displaystyle\bf\\\Big(\frac{e^{x} }{Sinx} \Big)'=\frac{(e^{x})'\cdot Sinx-e^{x} \cdot(Sinx)' }{Sin^{2} x} =\frac{e^{x} \cdot Sinx-e^{x} \cdot Cosx}{Sin^{2} x} =\\\\\\=\frac{e^{x} \cdot(Sinx-Cosx)}{Sin^{2} x}[/tex]