Explanation Given: y = f ( x ) = − x 2 + 7 x − 17 We know that the critical points are the points at which the derivatives of the function become zero or undefined. Here, the given function is f ( x ) = − x 2 + 7 x − 17 Differentiating the above function with respect to x, we get f ' ( x ) = d d x ( − x 2 + 7 x − 17 ) = ( − 2 x + 7 ) To find out the critical points, we equate the above equation to zero. i.e

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.3, Problem 27E

To determine

To find all the critical points of the function y=−x2+7x−17 and the intervals on which the function is increasing or decreasing. Also determine the critical point is a local minimum or maximum.

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Chapter 4.3, Problem 26E

Chapter 4.3, Problem 28E

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Chapter 4 Solutions

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To find all the critical points of the function y = − x 2 + 7 x − 17 and the intervals on which the function is increasing or decreasing. Also determine the critical point is a local minimum or maximum.

Solution Summary: The author explains that the critical points are the points at which the derivatives of the function become zero or undefined.

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To find all the critical points of the function y=−x2+7x−17 and the intervals on which the function is increasing or decreasing. Also determine the critical point is a local minimum or maximum.

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Chapter 4 Solutions