Mean Value Theorem (MVT)

Rarely Tested

If $$f$$ is continuous on $$[a,b]$$ and differentiable on $$(a,b)$$, then there exists $$c \in (a,b)$$ such that $$f'(c) = \frac{f(b) - f(a)}{b - a}$$.
Relates average rate of change to instantaneous rate of change.
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