University4 min

Mean Value Theorem

Existence of point with average slope

Not Started
abc≈1.95c≈1.96
a=0.5
b=3.5
f(b)f(a)ba=2.000=f(c)\frac{f(b)-f(a)}{b-a} = 2.000 = f'(c)

Mean value theorem: on [a,b] there is at least one c where the tangent (pink) is parallel to the secant line (yellow).