# MVT calc --- Introduction ---

Recall the Mean Value Theorem: If $f:\left[a,b\right]\to ℝ$ is a function continuous on the interval [ a, b ] and differentiable on the open interval $\right]a,b\left[$, then there exists a point $c\in \right]a,b\left[$ such that

$f\prime \left(c\right)=\frac{f\left(b\right)-f\left(a\right)}{b-a}\phantom{\rule{thickmathspace}{0ex}}\phantom{\rule{thickmathspace}{0ex}}.$

In the exercise MVT calc, the server presents you such a function $f$ as well as an interval $\left[a,b\right]$, 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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