What does the derivative of a quadratic represent?

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The vertex of a quadratic function lies at the zero of the derivative (which is linear) If the slope of the derivative is negative, the function has a maximum. Otherwhise it has a minimum. The zeros of the quadratic mean nothing in the derivative. When the derivative of any function is positive, the function is increasing. When it's negative, it's decreasing. A linear function has both positive and negative values, negative in a range, positive in another range, so the quadratic has the corresponding decreasing and increasing parts, ranges.

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