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2. Consider the function f(x)=¹+2r²-5r+ 4. Use the limit definition of derivative to find a formula for f'(x).

2. Consider the function f(x)=¹+2r²-5r+ 4. Use the limit definition of derivative to find a formula for f'(x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Use the graph of the function y = f(r) and the labeled points (A-H), given below, to answer the questions. Note: your answers should be specific, labeled points, not intervals. BD E F H (a) At what point (s), A through H, is the rate of change of f positive? Describe the characteristic of the graph that tells you this. (b) At what point(s), A through H, is the rate of change of f zero? Describe the characteristic of the graph that tells you this. (e) At what point (s). A through H, does the rate of change of f change from negative to positive? Describe the characteristic of the graph that tells you this. 2. Consider the function f(x)=¹+27²-5 +4. Use the limit definition of derivative to find a formula for f'(x).
Transcribed Image Text:1. Use the graph of the function y = f(r) and the labeled points (A-H), given below, to answer the questions. Note: your answers should be specific, labeled points, not intervals. BD E F H (a) At what point (s), A through H, is the rate of change of f positive? Describe the characteristic of the graph that tells you this. (b) At what point(s), A through H, is the rate of change of f zero? Describe the characteristic of the graph that tells you this. (e) At what point (s). A through H, does the rate of change of f change from negative to positive? Describe the characteristic of the graph that tells you this. 2. Consider the function f(x)=¹+27²-5 +4. Use the limit definition of derivative to find a formula for f'(x).
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