Задание

Найдите производную функции \(\large{y=e^{x^2}{\sin{\frac{x}{2}}}.}\)

\(y'={{{2x}}{{e^{x^2}}}}{\sin{\frac{x}{2}}}+{0,5{e^{x^2}}{\cos{\frac{x}{2}}}}\)

\(\large{y'={x{e^{x^2}}{\cos{\frac{x}{2}}}}}\)

\(\large{y'=e^{x^2}{\sin{\frac{x}{2}}}-{e^{x^2}}{\cos{\frac{x}{2}}}}\)

\(\large{y'={-2x{e^{x^2}}{\cos{\frac{x}{2}}}}}\)