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Home Q & A Board Science-Related Homework Help Mathematics
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adhungan adhungan
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Posts: 61
Rep: 21 0
9 years ago
Suppose
f(x) = x^p
where p> 1 and [a,b] = [0,1]. According to the Mean Value Theorem there is at least one number c such that
f(b)-f(a) = f'(c)(b-a).
Actually, in this particular case the number c is unique but it depends on p. In fact,
c=
Your answer will be in terms of p.
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wrote...
#1
Educator
9 years ago
Here's a similar question... It's a different function, but it might add some insight nonetheless.
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