Question

Вычислить производные:

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Answer 1

1)

$y'x = \frac{y't}{x't}$

$x't = 3 {t}^{2} + 5 \cos(t)$

$y't = \cos(3t) - 3t \sin(3t)$

$y'x = \frac{ \cos(3t) - 3t \sin(3t) }{3 {t}^{2} + 5 \cos(t) }$

2)

$y' = \frac{ \frac{3}{ \sqrt{1 - 9 {x}^{2} } } {(x - 4)}^{3} - 3 {(x - 4)}^{2}arcsin(3x) }{ {(x - 4)}^{6} } = \\ = \frac{3}{ {( x - 4)}^{3} \sqrt{1 - 9 {x}^{2} } } - \frac{3arcsin(3x)}{ {(x - 4)}^{4} }$