CALC BC HELPPP 4x2+4x+xy=5 and y(5)=−23, find y′(5) by implicit differentiation.

the assumption being that "x" is a plain variable whilst "y" is a function, that matters because the chain rule would be needed for a function, not so for a plain variable.

now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well

answer:

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