Question

Чему равна величина производной функции в точке ? варианты ответов: 0 1 2

Answer 1

$y=e^{sin(2x)}+cos \frac{\pi}{4}$

$y'=e^{sin(2x)}*cos(2x)*2+0=2cos(2x)e^{sin(2x)}$

$y'(\frac{\pi}{4})=2*cos(2*\frac{\pi}{4})e^{sin(2*\frac{\pi}{4})}=2*cos \frac{\pi}{2}e^{sin \frac{\pi}{2}}=2*0*e=0$

ответ: 0

Answer 2

$y = e^{sin(2x)} + cos \frac{\pi}{4}\\\\ y' = 2cos(2x)e^{sin2x}\\\\ y'(\frac{\pi}{4}) = 2cos(\frac{\pi}{2})e^{sin(\frac{\pi}{2})} = 0$