Lagrange's mean value theorem | mathematical analysis | elementary level
1 month ago
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Science
mathematics
analysis
mathematical analysis
real analysis
calculus
derivative
differentiable
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Rolle
Rolle's theorem
Episode 79.
Lagrange's mean value theorem | mathematical analysis | elementary level.
Branch of mathematics: mathematical analysis.
Difficulty level: elementary.
Lagrange's mean value theorem. Suppose we have a function $f$ on the closed interval $[a,b]$. Suppose that it is continuous on the closed interval $[a,b]$ and differentiable on the open interval $(a,b)$. Then there exists an interior point $c \in (a,b)$ such that $f'(c)=\frac{f(b)-f(a)}{b-a}$.
Mathematical analysis. Calculus.
#MathematicalAnalysis #Calculus
The same video on YouTube:
https://youtu.be/exCO-0-vW7Y
The same video on Telegram:
https://t.me/mathematical_bunker/103
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