Geometrical Form of LMVT

Rarely Tested

Geometrical Form of LMVT

The slope of the tangent at some point $$c$$ equals the slope of the chord joining the endpoints:

$$f'(c)=\frac{f(b)-f(a)}{b-a}$$

Usage

- Used in graphical and geometrical interpretations of the Mean Value Theorem.

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