I was given an example of how to derive a derivative from an implicit function, but I don't understand how they got their answer. (will post below)

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\[y^4+3y-4x^3=5x+1\]
The answer was \[y^4y'+3y'-12x^2=5\]

The one thing that confuses me is the y's. Are you supposed to add another y variable?

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