Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are certain constants. Find values of a and b that make f differentiable at the point -2.
Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are certain constants. Find values of a and b that make f differentiable at the point -2.
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:Consider the piecewise function
3x
if x < -2
f (x) =
ax² + 2x + b
if – 2 < x
Where a and b are certain constants. Find values of a and b that make ƒ differentiable at the
point -2.
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