Q. 6 Use the graphs of A(x) and f (x)... [FREE SOLUTION]

Chapter 4: Q. 6 (page 375)

Use the graphs of A(x) and f (x) that you drew earlier to illustrate the relationship between A'(x) and f(x) that you just discovered. Use the words increasing, decreasing, positive, and negative in your
discussion.

Short Answer

Expert verified

$The function of f (x) is concave up . The first derivative of A (x) shows a concave down on the x < 0 and a concave up on the x > 0 .$

Step by step solution

Step 1. Given information is;

$f (x) = x^{2} A' (x) 鈮� {鈭�}_{}^{n} f' (\frac{1}{x}) \frac{1}{x} - f (\frac{1}{x}) \frac{1}{x^{2}}$

Step 2. Graph and interpretation

$A' (x) 鈮� {鈭�}_{}^{n} f' (\frac{1}{x}) \frac{1}{x} - f (\frac{1}{x}) \frac{1}{x^{2}} is the slope of graph A (x) . Hence, using above graph, as explained the function of f (x) is concave up . The first derivative of A (x) shows a concave down on the x < 0 and a concave up on the x > 0 .$

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Use the graphs of A(x) and f (x) that you drew earlier to illustrate the relationship between A'(x) and f(x) that you just discovered. Use the words increasing, decreasing, positive, and negative in your
discussion.

Short Answer

Step by step solution

Step 1. Given information is;

Step 2. Graph and interpretation

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91影视

Use the graphs of A(x) and f (x) that you drew earlier to illustrate the relationship between A'(x) and f(x) that you just discovered. Use the words increasing, decreasing, positive, and negative in yourdiscussion.

Short Answer

Step by step solution

Step 1. Given information is;

Step 2. Graph and interpretation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Applied Mathematics

Pure Maths

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Use the graphs of A(x) and f (x) that you drew earlier to illustrate the relationship between A'(x) and f(x) that you just discovered. Use the words increasing, decreasing, positive, and negative in your
discussion.