   Chapter 9.3, Problem 25E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In the figures given in Problems 25 and 26, at each point A and B, draw an approximate tangent line and then use it to complete parts (a) and (b).(a) Is f ' ( x ) greater at point A or at point B? Explain.(b) Estimate f ' ( x ) at point B. (a)

To determine

Whether the slope f(x) is greater at point A or B as given in the figure. Explanation

Given Information:

Points A and B are as given in the figure,

Explanation:

Consider the provided statement,

Points A and B are as given in the figure,

As seen from the graph, coordinates of point A are (2,7.9) and B are (5,8.8) approximately.

The slope is steeper at point A i.e. the rate of change is greater.

Consider another point on the tangent that passes through point A on the curve. When the curve is at the point (1,6), the coordinates of the point on the tangent line will be slightly less. Approximately, the second coordinate on the line is (0.6,6).

Use slope-point form yy1=m(xx1) to calculate slope,

m7

(b)

To determine

To calculate: The approximate the value of slope f(x) at point B as given in the figure. ### Still sussing out bartleby?

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