Consider the graph of the function f(x) = x 2 + 5 (see figure). (a) Find the
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Consider the graph of the function f(x) = −x2 + 5 (see figure).
(a) Find the equation of the secant line joining the points (−1, 4) and (2, 1).
(b) Use the Mean Value Theorem to determine a point c in the interval (−1, 2) such that the tangent line at c is parallel to the secant line.
(c) Find the equation of the tangent line through c.
(d) Use a graphing utility to graph f, the secant line, and the tangent line.
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Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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