(a) Explanation Given information: The limit definition for f ′ ( x ) . Explanation: The limit definition for f ′ ( x ) can be given as: lim h → 0 f ( x + h ) − f ( x ) h Here h is the change in the function x from x to x + h (b) To determine To calculate: The value of f ′ ( x ) when f ( x ) = 3 x 2 − x + 9 by using limit definition.

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ISBN: 9780357865095

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 9, Problem 5T

(a)

To determine

The limit definition for f′(x).

(b)

To determine

To calculate: The value of f′(x) when f(x)=3x2−x+9 by using limit definition.

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Chapter 9, Problem 4T

Chapter 9, Problem 6T

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Chapter 9 Solutions

MATHEMATICAL APPLICATIONS FOR THE MGT

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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The limit definition for f ′ ( x ) .

Solution Summary: The author explains the limit definition for fprime(x), which can be determined only when limit exists.

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The limit definition for f′(x).

To calculate: The value of f′(x) when f(x)=3x2−x+9 by using limit definition.

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Chapter 9 Solutions