DP Mathematics HL Questionbank
Rolle’s theorem.
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[N/A]Directly related questions
- 14M.3ca.hl.TZ0.4b: (i) Use Rolle’s theorem, applied to \(f\), to prove that...
- 14N.3ca.hl.TZ0.4c: \(f\) is a continuous function defined on \([a,{\text{ }}b]\) and differentiable on...
- 14N.3ca.hl.TZ0.4f: Hence show that \(\frac{{16}}{{3\sqrt 3 }} < \pi < \frac{6}{{\sqrt 3 }}\).
- 14N.3ca.hl.TZ0.4d: (i) Given \(g(x) = x - \arctan x\), prove that \(g'(x) > 0\), for \(x > 0\). (ii) ...
- 14N.3ca.hl.TZ0.4e: Use the result from part (c) to prove that \(\arctan x > x - \frac{{{x^3}}}{3}\), for...
