Explanation Given: f ( x ) = − 5 x 4 + 9 x + 3 x 3 + 5 x 2 − 6 c = − 3 Formula Used: The derivative of y = f ( x ) at c is given by: f ′ ( c ) = lim x → c

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 14.4, Problem 36AYU

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To find: The derivative of $f (x) = \frac{- 5 x^{4} + 9 x + 3}{x^{3} + 5 x^{2} - 6}$ at $- 3$ .

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Chapter 14.4, Problem 35AYU

Chapter 14.4, Problem 37AYU

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The derivative of f ( x ) = − 5 x 4 + 9 x + 3 x 3 + 5 x 2 − 6 at − 3 .

Solution Summary: The author explains how to find the derivative of f (x) at 3 using the graphing utility calculator.

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To find: The derivative of $f (x) = \frac{- 5 x^{4} + 9 x + 3}{x^{3} + 5 x^{2} - 6}$ at $- 3$ .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

The derivative of f ( x ) = − 5 x 4 + 9 x + 3 x 3 + 5 x 2 − 6 at − 3 .

Solution Summary: The author explains how to find the derivative of f (x) at 3 using the graphing utility calculator.

Concept explainers

Videos

To find: The derivative of f( x ) = −5 x 4 + 9x + 3 x 3 + 5 x 2 − 6 at −3 .

Want to see the full answer?

Chapter 14 Solutions

Additional Math Textbook Solutions

To find: The derivative of $f (x) = \frac{- 5 x^{4} + 9 x + 3}{x^{3} + 5 x^{2} - 6}$ at $- 3$ .