Question

Содной производной
много !
x^3-xy^2+4^(x+2y^3)=cos(2/y)

Answer 1

Пошаговое объяснение:

дифференцирование функции, заданной неявно:

$2 {x}^{2} - ( {y}^{2} + x \times 2y \times {y}^{.} ) + ln(4) \times {4}^{(x + 2 {y}^{3})} (1 + 2 \times 3 {y}^{2} {y}^{.} ) = - \sin( \frac{2}{y} ) \times ( \frac{ - 2}{ {y}^{2} } ) \times {y}^{.} \\ 2 {x}^{2} - {y}^{2} + {4}^{(x + 2 {y}^{2}) } ln(4) = \frac{2 \sin( \frac{2}{y} ) }{{y}^{2} } {y}^{.} + 2xy {y}^{.} - 6 {y}^{2} {4}^{(x + 2 {y}^{2} )} ln(4) {y}^{.} \\ {y}^{.} = \frac{2 {x}^{2} - {y}^{2} + {4}^{(x + 2 {y}^{2}) } ln(4) }{\frac{2 \sin( \frac{2}{y} ) }{{y}^{2} } + 2xy - 6 {y}^{2} {4}^{(x + 2 {y}^{2} )} ln(4)}$