If a continuous function has derivatives at all interval points, at one or more points derivative has slope equal to slope of straight line passing through interval endpoints {mean value theorem}. For interval (a,b), line slope is (f(b) - f(a)) / (b - a). Point (x,y) has a <= x <= b and dy/dx = (f(b) - f(a)) / (b - a).
Mathematical Sciences>Calculus>Differentiation>Mean Value
3-Calculus-Differentiation-Mean Value
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Date Modified: 2022.0224