Найдите производную функции \(\large{y=e^{x^2}{\sin{\frac{x}{2}}}.}\) \(y'={{{2x}}{{e^{x^2}}}}{\sin{\frac{x}{2}}}+{0,5{e^{x^2}}{\cos{\frac{x}{2}}}}\) \(\large{y'={x{e^{x^2}}{\cos{\frac{x}{2}}}}}\) \(\large{y'=e^{x^2}{\sin{\frac{x}{2}}}-{e^{x^2}}{\cos{\frac{x}{2}}}}\) \(\large{y'={-2x{e^{x^2}}{\cos{\frac{x}{2}}}}}\)
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Задание

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

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

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