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Kurama has the ability to sense negative emotions, such as hate or killing intent of any individual around it. Kurama used this ability to find Naruto's inner hate, which has brought it close to escape numerous times before Naruto removed and took control of its chakra himself.
When Naruto and other jinchūriki achieved the Nine-Tails Chakra Mode, they in turn gain this ability. Naruto, for instance, was able to sense Kisame Hoshigaki hiding within Samehada, even though Kisame and the sword both shared the same chakra signature. According to Tobi, Mito Uzumaki also possessed this ability.