y=sin(x^2+1) 求二阶导数

问题描述:

y=sin(x^2+1) 求二阶导数

答:
y=sin(x²+1)
y'(x)=cos(x²+1)*(2x)=2xcos(x²+1)
y''(x)=2cos(x²+1)-2xsin(x²+1)(2x)
=2cos(x²+1)-4x²sin(x²+1)