Question

Give LMVT Theorem with statement and proof​

Answer 1

Step-by-step explanation:

Lagrange's Mean Value Theorem

Lagrange's mean value theorem (often called "the mean value theorem," and abbreviated MVT or LMVT) is considered one of the most important results in real analysis. An elegant proof of the Fundamental Theorem of Calculus can be given interval.

Proof

We reduce the problem to Rolle's theorem by using an auxiliary function.

Answer 2

Required Answer:

By setting g(x)=x in the Cauchy formula, we can obtain the Lagrange formula: f(b)−f(a)b−a=f′(c). Cauchy's mean value theorem has the following geometric meaning. Suppose that a curve γ is described by the parametric equations x=f(t), y=g(t), where the parameter t ranges in the interval [a,b].

itzrathergirl here ✌

hai wala answer brainlist detos ka dada?plz