Question

Найдите производную сложной функции

Answer 1

$1)y' = \frac{3}{4x + 3} \times 4 = \frac{12}{4x + 3}$

$2)y' = - 12 { \cos(5x) }^{3} \times ( - \sin(5x) ) \times 5 - 7 {e}^{7x} = 70 { \cos(5x) }^{3} \sin(5x) - 7 {e}^{7x}$

$3)y' = 4 {(1 - 15x)}^{3} \times ( - 15) = - 60 {(1 - 15x)}^{3}$

$4)y' = \frac{1}{2} {(2 {x}^{2} - 7) }^{ - \frac{1}{2} } \times 4x = \frac{2x}{ \sqrt{2 {x}^{2} - 7 } }$