Let f(x) = cos2x - 3sen2x, with 0 ≤ x ≤ π. (a) Find all roots of equation f(x) = 0 (b) (i) Find f '(x) (ii) From the above, find coordinates of points of graph y = f(x) where f ‘(x) = 0 (c) Draw approximately graph y = f(x), showing CLEARLY coordinates of all points where f ‘(x) = 0 and of all points where graph touches coordinate axes.
Let f(x) = cos2x - 3sen2x, with 0 ≤ x ≤ π. (a) Find all roots of equation f(x) = 0 (b) (i) Find f '(x) (ii) From the above, find coordinates of points of graph y = f(x) where f ‘(x) = 0 (c) Draw approximately graph y = f(x), showing CLEARLY coordinates of all points where f ‘(x) = 0 and of all points where graph touches coordinate axes.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
Question
Let f(x) = cos2x - 3sen2x, with 0 ≤ x ≤ π.
(a) Find all roots of equation f(x) = 0
(b) (i) Find f '(x)
(ii) From the above, find coordinates of points of graph y = f(x) where f ‘(x) = 0
(c) Draw approximately graph y = f(x), showing CLEARLY coordinates of all points where f ‘(x) = 0 and of all points where graph touches coordinate axes.
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