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Consider the following piecewise function: /(x) = Oxx, x < 0 XCOLX 0

Consider the following piecewise function: /(x) = Oxx, x < 0 XCOLX 0

Advanced Engineering Mathematics
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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Consider the following piecewise function: f(x) = XCOLE x<0 0≤x≤4 a. Use the first principles definition of a derivative to determine f'(x) when 0 < x < 4 b. Determine f"(3) c. Determine the equation of the tangent to f(x) when x = - = d. Determine f'(x) when x > 4 e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer...
Transcribed Image Text:Consider the following piecewise function: f(x) = XCOLE x<0 0≤x≤4 a. Use the first principles definition of a derivative to determine f'(x) when 0 < x < 4 b. Determine f"(3) c. Determine the equation of the tangent to f(x) when x = - = d. Determine f'(x) when x > 4 e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer...
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