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i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2. b. Give an example of a straight line which has the same slope.

i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2. b. Give an example of a straight line which has the same slope.

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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Plz solve only part (a) and (b) within 30-40 mins I'll give you multiple upvote
i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2.' b. Give an example of a straight line which has the same slope. c. Is there a critical point of the function at x=2? State with reason. d. Is there a critical point of the function at x=82 ? State with reason. e.lf any of the above two answers was yes, determine weather that critical point is a maximum point or a minimum point.
Transcribed Image Text:i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2.' b. Give an example of a straight line which has the same slope. c. Is there a critical point of the function at x=2? State with reason. d. Is there a critical point of the function at x=82 ? State with reason. e.lf any of the above two answers was yes, determine weather that critical point is a maximum point or a minimum point.
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