Mean Value Theorem

==2024-12-23

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Don’t think average, think beyond the box!

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Theory

If a function $f$ is defined on a closed interval $[a,b]$ such that:

1. $f$ is continuous on $[a,b]$.
2. $f$ is Differentiable on $(a,b)$ Then, There exists at least one point c in the open interval (a,b) such that the derivative $f^{\prime }(c)=\frac{f(b)-f(a)}{b-a}$.

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PTR