Question

Помогите пожалуйста СРОЧНОООООООООООООО!!! ​

Answer 1

Ответ:

1

$y '= 3 {e}^{x} - 20 {x}^{ - 6} = 3 {e}^{x} - \frac{20}{ {x}^{6} }$

2

$y' = \frac{1}{x ln(7) } + \frac{4}{x}$

3

$y' = ( {5}^{x} )' \times {x}^{2} + ( {x}^{2} )' \times {5}^{x} = \\ = ln(5) \times {5}^{x} \times {x}^{2} + 2x \times {5}^{x} = \\ = {5}^{x} ( {x}^{2} ln(5) + 2x)$

4

$y '= 3 {e}^{5 {x}^{2} } \times (5 {x}^{2} ) ' = 30x {e}^{5 {x}^{2} }$

5

$y '= \frac{(2 {e}^{x} )' \times {x}^{4} - ( {x}^{4} ) '\times 2 {e}^{x} }{ {x}^{8} } = \\ = \frac{2 {e}^{x} \times {x}^{4} - 4 {x}^{3} \times 2 {e}^{x} }{ {x}^ {8} } = \\ = \frac{2 {e}^{x} {x}^{3}(x - 4) }{ {x}^{8} } = \\ = \frac{2 {e}^{x}(x - 4) }{ {x}^{5} }$