Consider a quadratic function f(x) = ax?+ bx + c, where a, b, CER and a # 0. She hat the tangent line to the graph of f at the point P(Xo.Yo) is given by y- y, = (2ar, + b)(x-,). n this item, please use the limit definition of derivative.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Consider a quadratic function f(x) = ax² + bx + c, where a, b, c ER and a + 0. Show
that the tangent line to the graph of f at the point P(xo, yo) is given by
y- y, = (2ar, + b)(*-,).
In this item, please use the limit definition of derivative.
Transcribed Image Text:Consider a quadratic function f(x) = ax² + bx + c, where a, b, c ER and a + 0. Show that the tangent line to the graph of f at the point P(xo, yo) is given by y- y, = (2ar, + b)(*-,). In this item, please use the limit definition of derivative.
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