Question

производный ; е^y=4x-7y

Answer 1

$1; sposob:; ; ; e^{y}=4x-7 \ \ e^{y}cdot y'=4\\y'= frac{4}{e^{y}} = frac{4}{4x-7} \\2; sposob:; ; e^{y}=4x-7; ; to ; ; ; y=ln(4x-7)\\y'=frac{1}{4x-7}cdot (4x-7)'= frac{4}{4x-7}$