x>0 The function f(2)=fe*- if x [sina if x<0 a) is discontinuous at the origin b) is differentiable, with discontinuous derivative, at the c) is continuous and has a cusp d) is continuous and has a corner e) Belongs to ('(R) at the origin. point at the origin. origin.

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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if xzo
jex-1| if x.
{sinz if x<0
The function f(2)=√²-1
a) is discontinuous at the
origin
b) is differentiable, with discontinuous derivative, at the
at the origin.
c) is continuous and has a cusp
d) is continuous and has a corner
point at the
point at the origin.
e) Belongs to ('(12)
origin.
Transcribed Image Text:if xzo jex-1| if x. {sinz if x<0 The function f(2)=√²-1 a) is discontinuous at the origin b) is differentiable, with discontinuous derivative, at the at the origin. c) is continuous and has a cusp d) is continuous and has a corner point at the point at the origin. e) Belongs to ('(12) origin.
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