Explanation Given information: f ( x ) = x − ln x , x > 0 Fact used: If f ' changes from negative to positive at p, then f has a local minimum at p. f ' changes from positive to negative at p, then f has a local maximum at p. Calculation: f ( x ) = x − ln x , x > 0 (Given) Differentiating with respect to ‘x’, we get f ' ( x ) = 1 − 1 x Equating f ' ( x ) = 0 ⇒ 1 − 1 x = 0

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 4.3, Problem 44P

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The exact global maximum and minimum values of the function f(x)=x−lnx,x>0.

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Chapter 4.3, Problem 43P

Chapter 4.3, Problem 45P

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Chapter 4 Solutions

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The exact global maximum and minimum values of the function f ( x ) = x − ln x , x > 0 .

Solution Summary: The author explains the global minimum and minimum values of the function f(x)=x-mathrmlnx,x>0.

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To find:

The exact global maximum and minimum values of the function f(x)=x−lnx,x>0.

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Chapter 4 Solutions

The exact global maximum and minimum values of the function f ( x ) = x − ln x , x &gt; 0 .

Solution Summary: The author explains the global minimum and minimum values of the function f(x)=x-mathrmlnx,x>0.

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To find: The exact global maximum and minimum values of the function f(x)=x−lnx,x>0.

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Chapter 4 Solutions

The exact global maximum and minimum values of the function f ( x ) = x − ln x , x > 0 .

To find:

The exact global maximum and minimum values of the function f(x)=x−lnx,x>0.