   Chapter 9.3, Problem 11E ### 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 Problems 11-14, the tangent line to the graph of f(x) at x = 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line.(a) Find the coordinates of the points P and A.(b) Use the coordinates of P and A to find the slope of the tangent line.(c) Find f'(l).(d) Find the instantaneous rate of change of f ( x ) at P. (a)

To determine

The coordinates of the points P and A if P is the point of tangency and A is a point on the tangent. The tangent line is drawn at x=1. Explanation

Given Information:

If P is the point of tangency and A is a point on the tangent.

The tangent line is drawn at x=1.

Explanation:

Consider the provided statement,

If P is the point of tangency and A is a point on the tangent. The tangent line is drawn at x=1.

Draw a perpendicular from point P parallel to x-axis. As seen from the graph, y=1

(b)

To determine

To calculate: The slope of the tangent line from points P and A as given in graph. (c)

To determine

To calculate: The value of f(1) if P is the point of tangency and A is a point on the tangent. The tangent line is drawn at x=1. (d)

To determine

To calculate: The instantaneous rate of change of y=f(x) at P if P is the point of tangency and A is a point on the tangent. The tangent line is drawn at x=1. ### Still sussing out bartleby?

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