(a) Find the derivative of f (x) = x° +x+ 9. What is its sign? %3D f'(x) = 9 x+1 and f'(x) is always positive %3D (b) How many real roots does the equation r° +x +9 = 0 have? [Hint: How many critical points does this function have?] x° + x + 9 = 0 has real root (s). 1
(a) Find the derivative of f (x) = x° +x+ 9. What is its sign? %3D f'(x) = 9 x+1 and f'(x) is always positive %3D (b) How many real roots does the equation r° +x +9 = 0 have? [Hint: How many critical points does this function have?] x° + x + 9 = 0 has real root (s). 1
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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![(a) Find the derivative of f (x) = x° +x+ 9. What is its sign?
f'(x) = 9 x +1
and f'(x) is always positive
%3D
(b) How many real roots does the equation r° +x +9 = 0 have?
[Hint: How many critical points does this function have?]
%3D
x +x + 9 = 0 has
real root (s).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cbcfc3f-92b2-45e5-9a8a-0eb17683ca24%2F2eebdcc1-a105-43d5-8dbe-9c1924769384%2Fh3dzwd4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Find the derivative of f (x) = x° +x+ 9. What is its sign?
f'(x) = 9 x +1
and f'(x) is always positive
%3D
(b) How many real roots does the equation r° +x +9 = 0 have?
[Hint: How many critical points does this function have?]
%3D
x +x + 9 = 0 has
real root (s).
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