若y=sinx^2,则dy/dx^2= ; dy/dx=
问题描述：
若y=sinx^2,则dy/dx^2= ; dy/dx=
答
y = sin(x^2)
dy/d(x^2) = cos(x^2)
dy/dx = 2xcos(x^2)y = sin(x^2)let z=x^2y = sin(z)dy/dz = coszie dy/d(x^2) = cos(x^2)y = sin(x^2)dy/dx = dy/d(x^2) . d(x^2)/dx= cos(x^2) . d(x^2)/dx= 2xcos(x^2)