Lecture 11: Lagrange Mean value theorem. Geometrical and Physical interpretation with an example

One of the very important theorems in calculus and its Lagrange's Mean Value theorem.

We will try to understand Lagrange's Mean Value Theorem. We will also see its Geometrical and Physical interpretation. At the end we will see a nice example related to Lagrange's mean value theorem. The example will act as an application to Lagrange's Mean Value theorem.

[AJ-yuur]

Satisfy the hypothesis of the Mean Value Theorem on the given interval and which does not? Give reasons
F(x) ={x^2 - x [-2 -1]
{2x^2 -3x -3 (-1 0]

[abhishekkajirnekar]

Sir, how to check given function satisfies hypothesis of mean value theorem. Ex. f(x) = x^2/3 [-1, 8]

[ananyagupta]

Sir i can't understand the instantaneous change which is f´(c) in this video.... It will be very helpful if you will make it clear 🙏

[thorrr]

Satisfy the hypothesis of the Mean Value Theorem on the given interval and which does not? Give reasons , how to solve for this example ?
F(x) ={sinx/x [-π 0)
={ 0 x=0

[AkashPatil-wojh]

i think ...sir apka chalan kata he me sochu itna hatke example kaise

[engineeringstudent]

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