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More on implicit di↵erentiation We can now take derivatives of things that look like x2 + y2 =1 orey = xy Ex 1: If x 2+ y = 1, ... To find the derivative of ln(x), use implicit di↵erentiation! Rewrite y =lnx as ey = x Take a derivative of both sides of ey = x to get dy dx ey =1 so dy dx = 1 ey

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