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  • Prove that if $f(x)$ is continuous on $[a,b]$ and $f\,'(x)=0$ on $(a,b)$, then $f(x)$ is a constant.
  • Prove the Mean-Value Theorem.
  • Prove Rolle's Theorem.

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Lesson Specific Problems

  • Prove that if $f(x)$ is continuous on $[a,b]$ and $f\,'(x)=0$ on $(a,b)$, then $f(x)$ is a constant.
  • Prove the Mean-Value Theorem.
  • Prove Rolle's Theorem.
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