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(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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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).
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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