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A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is

  1. $-1/2$
  2. $-1/3$
  3. $1/3$
  4. $1/2$
in Calculus retagged by
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