In Example 6 in this section, we were given f(x) = 3x² + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 3. (b) Find the slope of the tangent to the graph of y = f(x) at x = 3. (c) Find the point on the graph of y = f(x) at x = 3. (х, у) 3D
In Example 6 in this section, we were given f(x) = 3x² + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 3. (b) Find the slope of the tangent to the graph of y = f(x) at x = 3. (c) Find the point on the graph of y = f(x) at x = 3. (х, у) 3D
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Question
In Example 6 in this section, we were given
f(x) = 3x2 + 2x + 11
and found
f '(x) = 6x + 2.
(a)
Find the instantaneous rate of change of
f(x)
at
x = 3.
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