I download the newest Xcode from Apple, but I found I cannot search the library named \"libstdc++6.0.9\".
Jeremy Huddleston Sequoia's answer gave me the direction to resolve this issue. So before going ahead, make sure you have read his answer.
Even after updating the C++ library in your project, you might face a linking error where Xcode is not able to link your project with this libstdc++ lib.
The solution is - if your project structure has libstdc++ included, it might have turned red because Xcode couldn't find the reference for it. If you remove that entry from the project structure and add the new lib instead(libc++), you're good to go.