Determine where f'(x) exists, an expression for it, and where f'(x) is con- tinuous: f(z) = |r|°;z € R{ 7 <0 ;x > 0 x3. %3D - x3 ;x < 0
Determine where f'(x) exists, an expression for it, and where f'(x) is con- tinuous: f(z) = |r|°;z € R{ 7 <0 ;x > 0 x3. %3D - x3 ;x < 0
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:Determine where f'(x) exists, an expression for it, and where f'(x) is con-
tinuous:
f(x) = |x|3; x € R
23.
;x > 0
-x3
;x < 0
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Step 1
Consider the given function f(x).
Step 2
It is required to check whether f’(x) exist and its expression.
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