1) Г
[tex]y = \sin( \frac{x}{3} ) \\ y' = \frac{1}{3} \cos( \frac{x}{3} ) \\ y' (\pi)= \frac{1}{3} \cos( \frac{\pi}{3} ) = \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} [/tex]
2) А
[tex]y = \sin(3x) \\ y' = 3 \cos(3x) \\ y'(\pi) = 3 \cos(3\pi) = 3 \times ( - 1) = - 3[/tex]
3) Б
[tex]y = \frac{1}{3} \sin(x) \\ y' = \frac{1}{3} \cos(x) \\ y' (\pi)= \frac{1}{3} \cos(\pi) = \frac{1}{3} \times ( - 1) = - \frac{1}{3} [/tex]
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Answers & Comments
1) Г
[tex]y = \sin( \frac{x}{3} ) \\ y' = \frac{1}{3} \cos( \frac{x}{3} ) \\ y' (\pi)= \frac{1}{3} \cos( \frac{\pi}{3} ) = \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} [/tex]
2) А
[tex]y = \sin(3x) \\ y' = 3 \cos(3x) \\ y'(\pi) = 3 \cos(3\pi) = 3 \times ( - 1) = - 3[/tex]
3) Б
[tex]y = \frac{1}{3} \sin(x) \\ y' = \frac{1}{3} \cos(x) \\ y' (\pi)= \frac{1}{3} \cos(\pi) = \frac{1}{3} \times ( - 1) = - \frac{1}{3} [/tex]