求y=ln(a^2-x^2)的二阶导数

问题描述:

求y=ln(a^2-x^2)的二阶导数
1个回答 分类:数学 2014-10-17

问题解答:

我来补答
y=ln(a²-x²)
dy/dx=dln(a²-x²)/d(a²-x²)*d(a²-x²)/dx
=1/(a²-x²)*(-2x)
=-2x/(a²-x²)
d²y/dx²=-2*1/(a²-x²)²*[(a²-x²)*1-x*(-2x)]
=-2/(a²-x²)²*(a²-x²+2x²)
=-2/(a²-x²)²*(a²+x²)
=-2(a²+x²)/(a²-x²)²
=-1/(a+x)²-1/(a-x)²
 
 
展开全文阅读
剩余:2000
也许感兴趣的知识