The value of \(c\) in Lagrange's mean value theorem for \(f(x)=x^3\) on \([0,3]\) is
A. \(\frac32\)
B. 1
C. \(\sqrt2\)
D. \(\sqrt3\)
1 answer
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Answer: D. \(\sqrt3\)
\(3c^2=\frac{27-0}{3}=9\Rightarrow c=\sqrt3\in(0,3)\).
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· 23 Oct 2026
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