Question

Найти похидну функцию, помогите пожалуйста​

Answer 1

Ответ:

1

$f'(x) = 7 \times 6 {x}^{5} - 2 \times 3 {x}^{2} + 0 = 42 {x}^{5} - 6 {x}^{2}$

2

$g'(x) = ( {x}^{2} )' \times \cos(x) + ( \cos(x) )' \times {x}^{2} = \\ = 2x \cos(x) - {x}^{2} \sin(x)$

3

$p'(x) = \frac{(x + 1)' \times {x}^{4} - ( {x}^{4}) '\times (x + 1) }{ {x}^{8} } = \\ = \frac{1 \times {x}^{4} - 4 {x}^{3} (x + 1)}{ {x}^{8} } = \frac{ {x}^{3}(x - 4(x + 1)) }{ {x}^{8} } = \\ = \frac{x - 4x - 4}{ {x}^{5} } = - \frac{3x + 4}{ {x}^{5} }$