Explanation Given information: f ( x ) = x 4 + x 3 − 3 x 2 + 2 Definition used: A point at which the graph of a function f changes concavity is called an inflection point. At the inflection points, f ' ' is zero or undefined. Calculation: f ( x ) = x 4 + x 3 − 3 x 2 + 2 (Given) f ' ( x ) = 4 x 3 + 3 x 2 − 6 x f ' ' ( x ) = 12 x 2 + 6 x − 6 f ' ' ( x ) = 0 ⇒ <

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ISBN: 9781119399353

Author: DA

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Chapter 4.2, Problem 11P

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To find:

The inflection points of the function f(x)=x4+x3−3x2+2 and graph the function to verify the points.

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Chapter 4.2, Problem 10P

Chapter 4.2, Problem 12P

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Chapter 4 Solutions

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The inflection points of the function f ( x ) = x 4 + x 3 − 3 x 2 + 2 and graph the function to verify the points.

Solution Summary: The author explains that the graph of f(x)=x4+ x=-1,12 is the point of inflection.

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To find:

The inflection points of the function f(x)=x4+x3−3x2+2 and graph the function to verify the points.

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Chapter 4 Solutions

The inflection points of the function f ( x ) = x 4 + x 3 − 3 x 2 + 2 and graph the function to verify the points.

Solution Summary: The author explains that the graph of f(x)=x4+ x=-1,12 is the point of inflection.

Videos

To find: The inflection points of the function f(x)=x4+x3−3x2+2 and graph the function to verify the points.

Want to see the full answer?

Chapter 4 Solutions

To find:

The inflection points of the function f(x)=x4+x3−3x2+2 and graph the function to verify the points.