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Given the piecewise function f(x) = = Why is f not differentiable at x = 0? f is discontinuous at x = 0 f has a vertical tangent line at x = 0 f is continuous at x = 0 f has no tangent line at x = = 0 0 5 1 5-x X x < 0 0 < x < 4. x>4

Given the piecewise function f(x) = = Why is f not differentiable at x = 0? f is discontinuous at x = 0 f has a vertical tangent line at x = 0 f is continuous at x = 0 f has no tangent line at x = = 0 0 5 1 5-x X x < 0 0 < x < 4. x>4

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
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Given the piecewise function f(x) = Why is f not differentiable at x = 0? Of is discontinuous at x = 0 Of has a vertical tangent line at x = 0 Of is continuous at x = 0 Of has no tangent line at x = 0 0 5-x _1 5-x x ≤0 0 < x < 4. x>4
Transcribed Image Text:Given the piecewise function f(x) = Why is f not differentiable at x = 0? Of is discontinuous at x = 0 Of has a vertical tangent line at x = 0 Of is continuous at x = 0 Of has no tangent line at x = 0 0 5-x _1 5-x x ≤0 0 < x < 4. x>4
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