Let f(x) =2x3-6x-1 (4) Osing only informatron about the degree of the Theorem, show that mOSt 3 zeroes. Hint : Iff f has doe s f' derivattves and Rolle 's f can have at at least 4 zeroe s, now many zeros い have? whar about f" and f (b) Snow that the function f zeros in the intenal cannot ave two C-1,13. maxi mum and minimum (c) Ftna the absoute of of C-3.3コ. Values on
Let f(x) =2x3-6x-1 (4) Osing only informatron about the degree of the Theorem, show that mOSt 3 zeroes. Hint : Iff f has doe s f' derivattves and Rolle 's f can have at at least 4 zeroe s, now many zeros い have? whar about f" and f (b) Snow that the function f zeros in the intenal cannot ave two C-1,13. maxi mum and minimum (c) Ftna the absoute of of C-3.3コ. Values on
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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Transcribed Image Text:Let
fCx) = 2z3ー6x-|
Osing only informatron aboutthe degree of the
derivatives
and Rolle 's
Theorem, show that
most 3 zeroes. Hint: If f has
many
f can have at
does f'
zeros
at least 4
zeroe s,
now
have? whar about f" and f'"?
the function f
cannot nave two
(b) snow
zeros in +he intenal [-1,13.
that
and minimum
absolute
maxi mum
(C) Find the
C-3.3コ.
values
of
on
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