Chapter 9, Problem 5T

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# (a) Write the limit definition for f ' ( x ) .(b) Use the definition from (a) to find f ' ( x ) for  f ' ( x )   = 3 x 2 −   x   +   9 .

(a)

To determine

The limit definition for f(x).

Explanation

Given information:

The limit definition for fâ€²(x).

Explanation:

The limit definition for fâ€²(x) can be given as:

limhâ†’0f(x+h)âˆ’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)=3x2x+9 by using limit definition.

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