Question

ПОМОГИТЕ ПРОШУ КТО ЧТО СМОЖЕТ

Answer 1

Ответ:

1.

1)

$y' = 18 {(9x + 6)}^{17} \times (9x + 6) '= \\ = 18 {(9x + 6)}^{17} \times 9 = 162 {(9x + 6)}^{17}$

2)

$y '= \cos( {x}^{4} - 5) \times ( {x}^{4} - 5) '= 4 {x}^{3} \cos( {x}^{4} - 5 )$

3)

$y '= ( {(11 - 3x)}^{ \frac{1}{2} } ) '= \frac{1}{2} {(11 - 3x)}^{ - \frac{1}{2} } \times (11 - 3x)' = \\ = - \frac{3}{2 \sqrt{11 - 3x} }$

2.

1)

$y '= 7 {( {x}^{4} + 3x) }^{6} \times ( {x}^{4} + 3x) '= \\ = 7{( {x}^{4} + 3x) }^{6} \times (4 {x}^{3} + 3) \\ \\ y'(0) = 7 \times 0 \times 3 = 0$

2)

$y '= ( {(8 {x}^{2} - 3) }^{ \frac{1}{2} } )' = \frac{1}{2} {(8 {x}^{2} - 3) }^{ - \frac{1}{2} } \times (8 {x}^{2} - 3)' = \\ = \frac{1}{2 \sqrt{8 {x}^{2} - 3} } \times 16x = \frac{8x}{ \sqrt{8 {x}^{2} - 3 } } \\ \\ y'(1) = \frac{8}{ \sqrt{5} } = \frac{8 \sqrt{5} }{5}$