根号里的数怎么求导?
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/17 02:50:47
根号里的数怎么求导?
![](http://img.wesiedu.com/upload/c/5f/c5f8e954eeaa90c24745d828014ded88.jpg)
![](http://img.wesiedu.com/upload/c/5f/c5f8e954eeaa90c24745d828014ded88.jpg)
![根号里的数怎么求导?](/uploads/image/z/16069805-53-5.jpg?t=%E6%A0%B9%E5%8F%B7%E9%87%8C%E7%9A%84%E6%95%B0%E6%80%8E%E4%B9%88%E6%B1%82%E5%AF%BC%3F%26nbsp%3B)
y=√[(72-12x^2)+(6x)^2]
=√(5184-1728x+180x^2)
y' =(1/[2√(5184-1728x+180x^2)] ).(-1728+360x)
=√(5184-1728x+180x^2)
y' =(1/[2√(5184-1728x+180x^2)] ).(-1728+360x)