200/х - 210/(х+20) =1; (200х+4000-210х) / (х(х+20)) =1; 4000-10х=х²+20х; х² +30х-4000=0; Д=16900; х₁ =-80 км/ч -не имеет смысла; х₂ =50 км/ч
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<span>Найдите производную функции
</span>
![y=e^{4x+5}](https://tex.z-dn.net/?f=y%3De%5E%7B4x%2B5%7D)
<span>
Решение
</span>
![y'=(e^{4x+5})' =e^{4x+5}*(4x+5)'=e^{4x+5}*((4x)'+(5)')=](https://tex.z-dn.net/?f=y%27%3D%28e%5E%7B4x%2B5%7D%29%27+%3De%5E%7B4x%2B5%7D%2A%284x%2B5%29%27%3De%5E%7B4x%2B5%7D%2A%28%284x%29%27%2B%285%29%27%29%3D)
![e^{4x+5}*(4+0)=4e^{4x+5}](https://tex.z-dn.net/?f=e%5E%7B4x%2B5%7D%2A%284%2B0%29%3D4e%5E%7B4x%2B5%7D)
Если функция записана как
![y=e^{4x}+5](https://tex.z-dn.net/?f=y%3De%5E%7B4x%7D%2B5)
![y'=(e^{4x}+5)' =e^{4x}*(4x)'+(5)'=4e^{4x}](https://tex.z-dn.net/?f=y%27%3D%28e%5E%7B4x%7D%2B5%29%27+%3De%5E%7B4x%7D%2A%284x%29%27%2B%285%29%27%3D4e%5E%7B4x%7D)