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Secants vs Tangents

Secant Lines: "A secant line is a straight line joining two points on a function. (See below.) It is also equivalent to the average rate of change, or simply the slope between two points."

Secant Note: Secant line = Average Rate of Change = Slope

Tangent Lines: "A tangent line is a straight line that touches a function at only one point. The tangent line represents the instantaneous rate of change of the function at that one point. The slope of the tangent line at a point on the function is equal to the derivative of the function at the same point."

Tangent Note: Tangent Line = Instantaneous Rate of Change = Derivative

Note by Llewellyn Sterling
2 years ago

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