Question

Продифференцировать функции​

Answer 1

Ответ:

$y' = \frac{U'V - V'U}{ {V}^{2} } = \\ = \frac{ \frac{1}{ ln(10) \times (x + 2)} \times \sin(2 {x}^{5} ) - \cos(2 {x}^{5} ) \times 10 {x}^{4} \times lg(x + 2) }{ { \sin}^{2}(2 {x}^{5} )} = \\ = \frac{1}{ ln(10) \times (x + 2) \times \sin(2 {x}^{5} ) } - \frac{10 {x}^{4} l g(x + 2) \cos(2 {x}^{5} ) }{ { \sin }^{2} (2 {x}^{5}) }$