Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.5 - Derivatives: Numerical and Graphical Viewpoints - Exercises - Page 752: 33

Answer

B

Work Step by Step

see page 734, "Derivative Function" ... Equivalently, $f^{\prime}$ associates to each $x$ the slope of the tangent to the graph of the function f at $x$, or the rate of change of f at $x$. The formula for the derivative function is $f^{\prime}(x)=\displaystyle \lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$. The correct choice is B.
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