Question

Найти F"(x0), если F(x)=xsinx, а x0=п/6

Answer 1

$F(x) = x\sin(x)\\F'(x) = \sin(x) + x\cos(x)\\F''(x) = \cos(x) + \cos(x) - x\sin(x) = 2\cos(x) - x\sin(x)\\F''(\frac{\pi}{6}) = \sqrt{3} - \frac{\pi}{12}$