Question

Помогите пожалуйста пример на фото

Answer 1

$y = {x}^{2} \times cosx \\ y' = ({x}^{2} )' \times cosx + {x}^{2} \times (cosx)' = \\ = 2xcosx + {x}^{2} ( - sinx) = \\ = 2xcosx - {x}^{2} sinx \\ \\ y( \frac{\pi}{6} ) = 2 \times \frac{\pi}{6} \times cos \frac{\pi}{6} - {( \frac{\pi}{6}) }^{2} sin \frac{\pi}{6} = \\ = \frac{\pi}{3} \times \frac{ \sqrt{3} }{2} - \frac{ {\pi}^{2} }{36} \times \frac{1}{2} = \\ \frac{ \sqrt{3} \pi}{6} - \frac{ {\pi}^{2} }{72}$