Explanation Given information: f ( x ) = x + 1 x , x > 0 . Fact used: If f ' changes from negative to positive at p, then f has a local minimum at p. If f ' changes from positive to negative at p, then f has a local maximum at p. Calculation: f ( x ) = x + 1 x , x > 0 (Given) Differentiating with respect to ‘x’, we get f ' ( x ) = 1 − 1 x 2 Equating f ' ( x ) = 0 ⇒ 1 − 1 x 2

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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 40P

To determine

To find:

The exact global maximum and minimum values of the function f(x)=x+1x,x>0.

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Chapter 4.3, Problem 39P

Chapter 4.3, Problem 41P

Chapter 4 Solutions

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What is Ellipse?; Author: Don't Memorise;https://www.youtube.com/watch?v=nzwCInIMlU4;License: Standard YouTube License, CC-BY

The exact global maximum and minimum values of the function f ( x ) = x + 1 x , x &gt; 0 .

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To find: The exact global maximum and minimum values of the function f(x)=x+1x,x>0.

Want to see the full answer?

Chapter 4 Solutions

The exact global maximum and minimum values of the function f ( x ) = x + 1 x , x > 0 .

To find:

The exact global maximum and minimum values of the function f(x)=x+1x,x>0.