Question

Найти производные первого порядка

Answer 1

а) y’ = cos x * x^(cos x - 1) * (-sin x);
б) y’ = 1/( sqrt(1-1/x^2) ) * (-2/x^3);
в) y’ = 1 - 2t/(1-t^2);
y’ = ( 2t(t^2 - 1) - t^2 * 2t) / (t^2 - 1)^2 =

= (2t^3 - 2t - 2t^3) / (t^2 - 1)^2 =

= -2t/(t^2-1)^2.