Question

помогите срочнооооооооооооооо!!!!!!!!!!!!!!!!!!!

Answer 1

Ответ:

1.

$y' = 16 \times 3 {(2x - 7)}^{2} \times 2 = 96 {(2x - 7)}^{2}$

2.

$y' = - 4 {( {x}^{2} + x)}^{ - 5} \times (2x + 1) = \\ = \frac{ - 4(2x + 1)}{ {( {x}^{2} + x) }^{5} } = \frac{8x - 4}{ {( {x}^{2} + x) }^{5} }$

3.

$y' = \frac{1}{2} {(2 {x}^{3} + 4x)}^{ - \frac{1}{2} } \times (8 {x}^{2} + 4) = \\ = \frac{2(4 {x}^{2} + 2)}{2 \sqrt{2 {x}^{3} + 4x } } = \frac{4 {x}^{2} + 2 }{ \sqrt{2 {x}^{3} + 4x} }$

4.

$y' = - 6 \sin( 7x + \pi ) \times 7 = \\ = - 42 \sin(7 x + \pi) = 42 \sin(7x)$

5.

$y' = - \frac{1}{ \sin ^{2} ( \frac{x}{6} - \frac{\pi}{4} ) } \times \frac{1}{6}$

6.

$y '= ln(4) \times {4}^{0.6 {x}^{2} - 8 } \times 1.2x$