Sketch the graph of (x) = x(1 x) over [0, 1]. Refer to the graph and,

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Sketch the graph of ƒ(x) = x(1 − x) over [0, 1]. Refer to the graph and, without making any computations, find:

(a) The slope of the secant line over [0, 1]
(b) The slope of the tangent line at x = 1/2
(c) The values of x at which the slope of the tangent line is positive

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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