Mean value theorem
In mathematics, the mean value theorem (or Lagrange theorem) states, roughly, that for a given planar arc between two endpoints, there is a…
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Rolle's Theorem
Statement: If f(x) is (i) continuous in the closed interval [a, b]; (ii) differentiable in the open interval (a, b). (iii) f(a)=f…
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Maxima and Minima
Maxima and minima are known as the extrema of a function. Maxima and minima are the maximum or the minimum value of a function…
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Distance, Velocity and Acceleration
Suppose that a ball is dropped from the upper observation deck of a building 450m above the ground. If the equation of the speed is \(s(t)=4.9t^2\), what i…
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Nature of Points
Can you write a function whose derivative does NOT exist a some point. 🗨 🙋 🕵 🗩 Yes, below is a function fiven by f(…
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