Question

Помогите пожалуйста умоляю прошу аоаоаоплапо

Answer 1

Ответ:

1

$( - 7 {x}^{5} + 3 {x}^{ - 7} - 6x - 19)' = \\ = - 35 {x}^{4} - 21 {x}^{ - 8} - 6 - 0 = \\ = - 35 {x}^{4} - \frac{21}{ {x}^{8} } - 6$

2

$( \sqrt{x} - \sqrt[11]{ {x}^{3} } - 5 {x}^{ - 7} - 18x) '= \\ = ( {x}^{ \frac{1}{2} } - {x}^{ \frac{3}{11} } - 5 {x}^{ - 7} - 18x)' = \\ = \frac{1}{2} {x}^{ - \frac{1}{2}} - \frac{3}{11} {x}^{ - \frac{8}{11} } + 35 {x}^{ - 8} - 18 = \\ = \frac{1}{2 \sqrt{x} } - \frac{3}{11 \sqrt[11]{ {x}^{8} } } + \frac{35}{ {x}^{8} } - 18$

3

$( \frac{1}{ \sqrt[6]{x} } - 5 {x}^{ \frac{1}{5} } - 3 {x}^{11} - 5 {x}^{ - \frac{1}{4} } ) '= \\ = - \frac{1}{6} {x}^{ - \frac{7}{6} } -5 \times \frac{1}{5} {x}^{ - \frac{4}{5} } - 33 {x}^{10} - 5 \times ( - \frac{1}{4} ) {x}^{ - \frac{5}{4} } = \\ = - \frac{1}{6x \sqrt[6]{x} } - \frac{1}{ \sqrt[5]{ {x}^{4} } } - 33x {}^{10} + \frac{5}{4x \sqrt[4]{x} }$

4

$( {x}^{ \frac{14}{2} } + 6 {x}^{ - \frac{1}{2} } - 18 {x}^{5} - 19)' = \\ = 7 {x}^{6} - 3 {x}^{ - \frac{3}{2} } - 90 {x}^{4} - 0 = \\ = 7 {x}^{6} - \frac{3}{x \sqrt{x} } - 90 {x}^{4}$

5

$(6 {x}^{ - 7} - 5 {x}^{7} + 5 {x}^{3} + 19 {x}^{ - 1} )' = \\ = - 42 {x}^{ - 8} + 35 {x}^{6} + 15 {x}^{2} - 19 {x}^{ - 2} = \\ = - \frac{42}{ {x}^{8} } + 35 {x}^{6} + 15 {x}^{2} - \frac{19}{ {x}^{2} }$

6

$( {x}^{ \frac{5}{7} } - 6 {x}^{ - 5} + {x}^{ - \frac{1}{8} } + 25x)' = \\ = \frac{5}{7} {x}^{ - \frac{2}{7} } + 30 {x}^{ - 6} - \frac{1}{8} {x}^{ - \frac{9}{8} } + 25 = \\ = \frac{5}{7 \sqrt[7]{ {x}^{2} } } + \frac{30}{ {x}^{6} } - \frac{1}{8x \sqrt[8]{x} } + 25$

7

$(10 {x}^{ - 3} - 7 {x}^{7} + {x}^{ - 20} + 19)' = \\ = - 30 {x}^{ - 4} - 49 {x}^{6} - 20 {x}^{ - 21} + 0 = \\ = - \frac{30}{ {x}^{4} } - 49 {x}^{6} - \frac{20}{ {x}^{21} }$

8

$( - 5 {x}^{ - 6} + 5 {x}^{8} - 6 {x}^{ - \frac{7}{13} } ) '= \\ = 30 {x}^{ - 7} + 40 {x}^{9} + \frac{42}{13} {x}^{ - \frac{20}{13} } = \\ = \frac{30}{ {x}^{7} } + 40 {x}^{9} + \frac{42}{13x \sqrt[13]{ {x}^{7} } }$

9

$(10 {x}^{ \frac{1}{5} } + 5 {x}^{ \frac{4}{5} } + 10 {x}^{ - \frac{7}{9} } )' = \\ = 10 \times \frac{1}{5} {x}^{ - \frac{4}{5} } + 5 \times \frac{4}{5} {x}^{ - \frac{1}{5} } + 10 \times ( - \frac{7}{9} ) {x}^{ - \frac{16}{9} } = \\ = \frac{2}{ \sqrt[5]{ {x}^{4} } } + \frac{4}{ \sqrt[5]{x} } - \frac{70}{9x \sqrt[9]{ {x}^{7} } }$

10

$( - 18 {x}^{ - 6} + 5 {x}^{9} - 14 {x}^{ - \frac{2}{5} } + 18x) '= \\ = 108 {x}^{ - 7} + 45 {x}^{8} + \frac{28}{5} {x}^{ - \frac{7}{5} } + 18 = \\ = \frac{108}{ {x}^{7} } + 45 {x}^{8} + \frac{28}{5x \sqrt[5]{ {x}^{2} } } + 18$