Let a be a conostant and let f(x)={x^(3)-ax, if x<1 {x^(4), if x>=1 then (a) f is continuous at 0 only if a=0 (b) f is differentiable at 1 for all a (c) f'(1)=3-a for all a (d) f'(0) exists only if a=0 (e) none of these
Let a be a conostant and let f(x)={x^(3)-ax, if x<1 {x^(4), if x>=1 then (a) f is continuous at 0 only if a=0 (b) f is differentiable at 1 for all a (c) f'(1)=3-a for all a (d) f'(0) exists only if a=0 (e) none of these
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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Let a be a conostant and let f(x)={x^(3)-ax, if x<1
{x^(4), if x>=1
then
(a) f is continuous at 0 only if a=0
(b) f is
(c) f'(1)=3-a for all a
(d) f'(0) exists only if a=0
(e) none of these
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