Question

Найти производную функции.(P.S можете описать каждый шаг) Спасибо​

Answer 1

Ответ:

$y = \frac{1}{21} \times 7 {(3x - 2)}^{6} \times (3x - 2)' + ( - 1) {(4 - \frac{1}{2 {x}^{2} }) }^{ - 2} \times (4 - \frac{1}{2 {x}^{2} } )' = \\ = \frac{1}{3} {(3x - 2)}^{6} \times 3 - {(4 - \frac{1}{2 {x}^{2} } )}^{ - 2} \times ( - \frac{1}{2} {x}^{ - 2} )' = \\ = {(3x - 2)}^{6} - {(4 - \frac{1}{2 {x}^{2} } )}^{ - 2} \times ( - \frac{1}{2} \times ( - 2) {x}^{ - 3} ) = \\ = {(3x - 2)}^{6} - {(4 - \frac{1}{2 {x}^{2} }) }^{ - 2} \times \frac{1}{ {x}^{3} } = \\ = {(3x - 2)}^{6} - {( \frac{8 {x}^{2} - 1 }{2 {x}^{2} } )}^{ - 2} \times \frac{1}{ {x}^{3} } = \\ = {(3x - 2)}^{6} - \frac{4 {x}^{4} }{ {x}^{3} {(8 {x}^{2} - 1)}^{2} } = {(3x - 2)}^{6} - \frac{4x}{ {(8 {x}^{2} - 1)}^{2} }$