Explanation Given: The given function is f ( x ) = 2 x 3 − 4 x 2 + 3 x . Calculation: The given function can be written as, f ( x ) = 2 x 3 − 4 x 2 + 3 x = 2 x 3 x − 4 x 2 x + 3 x = 2 x 2 − 4 x + 3 x − 1 The derivative of function f is, f ′ ( x ) = d d x ( 2 x 2 − 4 x + 3 x − 1 ) Use the rules of differentiation to find the derivative of the given function. d d x ( 2 x 2 − 4 x + 3 x − 1 ) = d d x 2 x 2 − d d x 4 x + d d x 3 x − 1 ( d d x [ f ( x ) ± g ( x ) ] = d d x

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ISBN: 9781305041264

Author: Tan

Publisher: CENGAGE C

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 3.1, Problem 23E

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The derivative of the function f with the help of rules of the differentiation.

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Chapter 3.1, Problem 22E

Chapter 3.1, Problem 24E

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Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The derivative of the function f with the help of rules of the differentiation.

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Chapter 3 Solutions