Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.4 The Tangent Problem; The Derivative - 13.4 Assess Your Understanding - Page 917: 15

Answer

slope$=5$ See graph.

Work Step by Step

1. Find the derivative of $f(x)=2x^2+x$ as $f'(x)=4x+1$. 2. The slope of the tangent line is the same as the derivative at $x=1$, we have $m=4(1)+1=5$ 3. The tangent line is $y-3=5(x-1)$ or $y=5x-2$ 4. See graph.
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