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Syllabus

Rolle’s theorem.

Path:

Topic 9 - Option: Calculus » 9.6 » Rolle’s theorem.

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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...

Sub sections and their related questions

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