Question

Найти dy/dx, если x=cos t * e^(-t), y=cos t * e^(t)

Answer 1

$frac{dy}{dx} = frac{dy}{dе}/frac{dx}{dt} = (-sin t+cos t)e^{t}/((-sin t-cos t)e^{-t}) = \\ = frac{sin t-cos t}{sin t+cos t}e^{2t}$