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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 14: Q. 36 (page 897)

In Problems 33鈥�42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = \frac{- 5 x^{4} + 9 x + 3}{x^{3} + 5 x^{2} - 6}$ at $- 3$

Short Answer

Expert verified

Derivative of $f (x) = \frac{- 5 x^{4} + 9 x + 3}{x^{3} + 5 x^{2} - 6}$ at $- 3$ is $f' (- 3) = 36.8125$

Step by step solution

01

Step 1. Given information

Given function is

$f (x) = \frac{- 5 x^{4} + 9 x + 3}{x^{3} + 5 x^{2} - 6}$

and $x = - 3$

02

Step 2. Derivative

Enter the function $f (x) = \frac{- 5 x^{4} + 9 x + 3}{x^{3} + 5 x^{2} - 6}$ and $x = - 3$ in the derivative function of the graphing calculator

The graphing calculator shows that the derivative of the function is $f' (- 3) = 36.8125$

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Most popular questions from this chapter

In Problems 7鈥� 42, find each limit algebraically.

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True or False Every polynomial function is continuous at every real number.

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