Question

数学求导问题.

如图,求y'(x)

Answer 1

y'(x)=x(sin(5/x))'+sin(5/x)
=xcos(5/x)*(5/x)'+sin(5/x)
=-xcos(5/x)*(5/x^2)+sin(5/x)
=sin(5/x)-cos(5/x)*5/x

Answer 2

dy/dx=xsin(5/x)
=xsin(5^-x)
=sin(5^-x)+x(-6x^-2)cos(5x^-1)
=sin(5^-x)-(6^-x)cos(5x^-1)

还有什么问题可以留言啊