Implicit Differentiation Understanding Question?

Update: For the problem:

2xy + x^3 - 3y^2 = 5


How/why is the derivative of 2xy equal to 2 ( 1*x+y* dy/dx)?

Also how/why is the derivative of xy equal to (x+y*dy/dx)?

I don't understand how those became the answers in parentheses. Thank you!
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