This is an applet to explore one of the most important theorem in calculus: the mean value theorem. Once you finish with this tutorial you might want to solve problems related to the mean value theorem.

Let f(x) be a continuous function on the interval [a, b] and differentiable on
the open interval (a, b). Then there is at least one value c in the interval (a, b) such that f'(c) = (f(b)-f(a))/(b-a) In other words, the tangent line to the graph of f at c and the secant through points (a,f(a)) and (b,f(b)) have equal slopes and are therefore parallel.
1 - Click on the button "click here to start" and maximize the window obtained. |

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Updated: 2 April 2013

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