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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
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In mathematics, a derivati…
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In Exercises 97–100, apply…
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Mean Value Theorem Conside…
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use the Intermediate Value…
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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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