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Question

The function f(x) defined as f(x) = (x4)2


A
continuous but not differentiable  x ϵ R
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B
continuous and differentiable  x ϵ R
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C
not continuous at x = 4
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D
continuous only for x4
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Solution

The correct option is B continuous but not differentiable  x ϵ R
f(x)=(x4)2=|x4||x4| is continuous  x ϵ R
It is not differntiable at x = 4
 

Mathematics

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