Question

надо решить привести производную функции​

Answer 1

Ответ:

а)

$f'(x) = 2 \times 7 {x}^{6} + 4 \times \frac{1}{2} {x}^{ - \frac{1}{2} } = \\ = 14 {x}^{6} + \frac{2}{ \sqrt{x} }$

б)

$f'(x) = \frac{u'v - v'u}{ {v}^{2} } = \\ = \frac{2x( {x}^{2} - 3) - 2x( {x}^{2} + 1) }{ {( {x}^{2} - 3)}^{2} } = \\ = \frac{2x( {x}^{2} - 3 - {x}^{2} - 1) }{ {( {x}^{2} - 3)}^{2} } = \\ = \frac{2x \times ( - 4)}{ {( {x}^{2} - 3) }^{2} } = \\ = - \frac{8x}{ {( {x}^{2} - 3)}^{2} }$