Here you will learn lagrange’s mean value theorem statement, its geometrical and physical interpretation with examples. Let’s begin – Lagrange’s Mean Value Theorem (LMVT) Statement : Let f be a function that satisfies the following conditions : (i) f is continuous in [a, b] (ii) f is differentiable in (a, b) Then there is a […]
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Here you will learn statement of rolle’s theorem, it’s geometrical and algebraic interpretation with examples. Let’s begin – Rolle’s Theorem Statement : Let f be a function that satisfies the following three conditions: (a) f is continous on the closed interval [a, b]. (b) f is differentiable on the open interval (a, b) (c) f(a)
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Here you will learn mean value theorems i.e rolle’s theorem, lagrange’s theorem and extreme value theorem. Let’s begin – Mean Value Theorems (a) Rolle’s Theorem Let f be a real valued function defined on the closed interval [a, b] such that (i) it is continuous on the closed interval [a, b], (ii) it is differentiable
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