Найти производные функций: а) y=sinx/inx; y=e^x^2; y=x^2inx

a) y' = (sin(x)/ln(x))' = (x * log(x) * cos(x) - sin(x))/(x*log^2(x))

b) y' = (e^x^2)' = 2 * e^x^2 * x

c) y' = (x^2*In(x))' = x + 2 * x * log(x)

Пошаговое объяснение:

a) y' = (sin(x)/ln(x))' = (cos(x)/ log(x)) - (sin(x)/x*log^2(x)) = (x * log(x) * cos(x) - sin(x))/(x*log^2(x))

b) y' = (e^x^2)' = 2 * e^x^2 * x

c) y' = (x^2*In(x))' = x * (2*log(x) + 1) = x + 2 * x * log(x)