Question

Помогите с производными!!!

Answer 1

Ответ:

$1)f'(x) = 6 {(2 {x}^{2} - x - 3)}^{5} \times (4x - 1) - \pi \sin( \pi \: x ) \\ f'( - 1) = 6( - 4 - 1) {(2 + 1 - 3)}^{5} - \pi \sin( - \pi) = 6 \times ( - 5) \times 0 - 0 = 0$

$2)f'(x) = \frac{1}{2} {( {x}^{2} - 8) }^{ - \frac{1}{2} } \times 2x = \frac{ x }{ \sqrt{ {x}^{2} - 8 } }$

$f'(3) = \frac{3}{ \sqrt{9 - 8} } = 3$