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Find the values of an equation using derivatives?

A http://www.door2math.com production.Find the values of an equation using derivatives? Suppose the curve y = x^4 + ax^3 + bx^2 + cx + d has a tangent line when x = 0 with the equation y=2x+1 and a tangent line when x = 1 with the equation y=2-3x. Find the values of a, b, c, d.
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