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Verify Mean Value Theorem, if f(x)=x^2-4...

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

Text Solution

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The given function is`f(x)=x^2-4x-3`
polynomial function is always a continuous function
Hence f(x) is a continuous function at [1,4]

` f ′ (x)=2x−4`

`Now f(1)=1^ 2 ...
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