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mean value theorem ISIM

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mean value theorem MATEMATIK
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Since x 0 for the mean value theorem to work then we may conclude that f(x) - g(x) 0.
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Next, we employ the mean value theorem.
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Because acceleration also varies with time, however, the extended mean value theorem must also be extended to the second time derivative to obtain the correct displacement.
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By applying the mean value theorem, the operator can deduce that the vehicle's speed must equal its average speed at some time between the measurements.
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In practice, what the mean value theorem does is control a function in terms of its derivative.
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If is additionally assumed to be "continuously" differentiable, then the claim can be proved by applying the mean value theorem and converting the sum into an integral.
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From the mean value theorem, we know that the vehicle's speed must equal its average speed at some time between the measurements.
en.wikipedia.org
It can be generalized to more variables according by the mean value theorem for divided differences.
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He also refined the second mean value theorem of integration.
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Therefore, has to be constant on, because otherwise we would obtain a contradiction to the mean value theorem (applied separately to the real and imaginary part in the complex-valued case).
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