(a) If f(x) = x* + 3x, find f'(x). f'(x) = (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f'. (A graphing calculator is recommended.) y y 100 100 100 f 50 50 50 -4 4 -4 4 - 50 -50 -50 -100아 -100아 -100아 y 100 50 50

(a) If f(x) = x* + 3x, find f'(x). f'(x) = (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f'. (A graphing calculator is recommended.) y y 100 100 100 f 50 50 50 -4 4 -4 4 - 50 -50 -50 -100아 -100아 -100아 y 100 50 50

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

(a) If f(x) = x“ + 3x, find f'(x).
%3D
f'(x) =
(b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f'. (A graphing calculator is recommended.)
y
y
y
100
100
100
f
50
f
50
50
-4
-2
2
4
4
-2
2
4
-4
-2
4
f
- 50
- 50
-50
f
-100
- 100
- 100
C
y
100
f
50
-4
-2
2
4
- 50
f

Expert Solution

Step 1

Given:

f(x)= x^4+3x

f'(x) means we have to find derivative

So, the derivative of f(x)

f'(x)= 4x^3+3

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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