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Which one of the following is correct in...

Which one of the following is correct in respect of the function `f(x)=|x|+x^(2)`?

A

f(x) is not continuous at x = 0

B

f(x) is differentiable at x = 0

C

f(x) is continuous but not differentiable at x = 0

D

None of the above

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The correct Answer is:
C
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PUNEET DOGRA-DIFFERENTION-PREV YEAR QUESTIONS
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  15. If y=|sinx|^(|x|), then what is the value of (dy)/(dx) at x=-(pi)/(6) ...

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  18. Consider the function f(x)={:{(x^(2)|x|x!=0),(" 0 "x=0):}} what is...

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