a. Show that if (a, f(a)) is any point on the graph of f(x) = x 2

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a. Show that if (a, f(a)) is any point on the graph of f(x) = x2, then the slope of the tangent line at that point is m = 2a.

b. Show that if (a, f(a)) is any point on the graph of f(x) = bx2 + cx + d, then the slope of the tangent line at that point is m = 2ab + c.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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