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Verify Mean Value Theorem, if $f(x)=x^{2}-4 x-3$ in the interval $[a, b]$, where $a=1$ and $b=4$.

02:24

Manisha S.

Calculus 1 / AB

Chapter 5

Continuity and Differentiability

Section 8

Mean Value Theorem

Derivatives

Campbell University

Harvey Mudd College

University of Nottingham

Boston College

Lectures

04:40

In mathematics, a derivati…

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In mathematics, the deriva…

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Verify that the function s…

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Verify that the hypotheses…

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Use the Intermediate value…

04:26

03:21

02:25

01:50

In Exercises 97–100, apply…

01:25

04:15

02:10

03:15

Determine the values $a, b…

04:28

Mean Value Theorem Conside…

00:52

use the Intermediate Value…

01:44

01:24

Find the value or values o…

01:57

07:09

06:50

The questions is if if In the range -5-5 is a differentiable function and if F dash X does not manage anywhere, then prove that F Of -5 is not equal to effort five. Now moving towards the solution as per rules theorem, if fFS continuous, it will be in the range it to be and if F is there available, it will be in the range, it will be. And in this range your F of F at a must be equal to effort be, then F dash C will be called to zero and see will be in the range to be. So now moving further. It has given that Fs continuous and they're available but half dash C is not equal to zero, that is effort A is not equal to effect be, So affect -5 is not equal to affect five. Hence proved. Thank you.

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