MVT calc --- Introduction ---

Recall the Mean Value Theorem: If f:[a,b]→ℝ is a function continuous on the interval [ a, b ] and differentiable on the open interval ]a,b[, then there exists a point c∈]a,b[ such that

f′(c)=f(b)−f(a)b−a.

In the exercise MVT calc, the server presents you such a function f as well as an interval [a,b], and your goal is to find effectively a point c which satisfies the above equation. Note that this point c is not necessarily unique.
Choose the suitable difficulty level: 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 .

Other exercises on: Mean Value Theorem   Functions   Derivative   Continuity   Differentiability  

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Description: a computing exercise on Mean Value Theorem. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, nice sophia antipolis university, analysis, calculus, derivative, function, interval, mean value theorem