Question

$y = ln(12x ^{2} - x \cos5x)$
Найти производную функции
​

Answer 1

Пошаговое объяснение:

$y = ln(12 {x}^{2} - x \cos(5x) )$

$y' = \frac{1}{12 {x}^{2} - x \cos(5x) } \times (12 {x}^{2} - x\cos(5x) )' = \\ = \frac{(24x - (x' \cos(5x) + ( \cos(5x))'x) }{12 {x}^{2} - x\cos(5x) } = \\ = \frac{24x - \cos(5x) - x \times 5( - \sin(5x)) }{12 {x - x \cos(5x) }^{2} } = \\ = \frac{24x - \cos(5x) + 5x \sin(5x) }{12 {x}^{2} - x\cos(5x) }$