Calculus Calculus Math Forum

 March 10th, 2017, 09:29 PM #1 Newbie   Joined: Mar 2017 From: US Posts: 1 Thanks: 0 Rolle's Theorem. Find the number 'c' that satisfies the conclusion of Rolle's theorem for the function f(x) = (x² -1)(x-2) in (1, 2] I,ve tried https://ibb.co/bK70iv Where I've made mistake. March 10th, 2017, 09:44 PM #2 Member   Joined: Sep 2016 From: India Posts: 88 Thanks: 30 Solve quadratic equation correctly $$3x^2-4x-1=0\\\Rightarrow \dfrac{4\pm\sqrt{16-(4)(3)(-1)}}{2(3)}\\\Rightarrow x=\dfrac {2\pm \sqrt 7}{3}\\\Rightarrow x=\dfrac {2+ \sqrt 7}{3}\;\text{and}\; x=\dfrac {2- \sqrt 7}{3}\\x=\dfrac {2+ \sqrt 7}{3}=1.55\in (1,\;2]\\ x=\dfrac {2- \sqrt 7}{3}=-.215\notin(1,\;2]$$ Hence, $\; c=\dfrac {2+ \sqrt 7}{3}\;$ satisfies the conclusion of Rolle's theorem for the given function. March 11th, 2017, 04:39 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 You "dropped a sign" and used instead of the correct . Tags rolle, theorem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Azilips Calculus 4 March 17th, 2016 12:46 PM Shamieh Calculus 4 October 21st, 2013 05:18 PM bobcantor1983 Calculus 1 October 1st, 2013 02:49 PM mathkid Calculus 4 October 6th, 2012 07:35 PM mathkid Calculus 2 October 6th, 2012 08:17 AM

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