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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Plz solve only part (c), (d) and (e) 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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