Find the values of the real constants a and b such that the function =-{ [ 1+ 2x + x²(5+ cos(1/x)) if x < 0, if x ≥ 0, f(x) is differentiable on R. a sin x + bcos x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the values of the real constants a and b such that the function
{
f(x) =
is differentiable on R.
=
1 + 2x + x² (5+ cos(1/x))
a sin x + bcos x
if x < 0,
if x ≥ 0,
Transcribed Image Text:Find the values of the real constants a and b such that the function { f(x) = is differentiable on R. = 1 + 2x + x² (5+ cos(1/x)) a sin x + bcos x if x < 0, if x ≥ 0,
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