Anytime someone tells you that an animal isn't capable of feeling emotions, you should probably let them know they are very wrong. As it turns out, even the biggest animals out there are capable of feeling some of the powerful emotions that we all struggle with.
Emotions are never an easy thing to classify in humans, let alone animals. There is no exact measure of chemicals in your brain that will guarantee you to be happy or sad, but instead there are actions that we all seem to go through when we are experiencing intense emotions.
Elephants are especially capable of expressing their emotions in ways that are extremely similar to humans. They have been known to show many complex things that scientists have been able to witness.
Researchers were able to see elephants comfort their friends when a stressful situation was going on. For example, some elephants become stressed because of things passing by that they didn't expect and will express that by holding their tail up high and flaring their ears. They also may start trumpeting and making other vocalizations, but their more calm friends have a few special ways to calm them down.
Elephants are known to caress their companions to help ease the stress. They will often put their trunks in their mouth which is apparently very soothing for them, kind of like giving a baby a pacifier.