Решение.
Пользуемся таблицей производных .
[tex]\bf y=3\, sinx-2\, ctgx\\\\y'=3\, cosx+\dfrac{2}{sin^2x}\\\\\\y'\Big(\dfrac{\pi }{2}\Big)=3\, cos\dfrac{\pi }{2}+\dfrac{2}{sin^2\frac{\pi }{2}}=3\cdot 0+\dfrac{2}{1^2}=2[/tex]
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Решение.
Пользуемся таблицей производных .
[tex]\bf y=3\, sinx-2\, ctgx\\\\y'=3\, cosx+\dfrac{2}{sin^2x}\\\\\\y'\Big(\dfrac{\pi }{2}\Big)=3\, cos\dfrac{\pi }{2}+\dfrac{2}{sin^2\frac{\pi }{2}}=3\cdot 0+\dfrac{2}{1^2}=2[/tex]