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Let f(x)={(1/|x|,"for |x|"ge1),(ax^2+b, ...

Let `f(x)={(1/|x|,"for |x|"ge1),(ax^2+b, "for |x|" lt1):}`. If f(x) is continuous and differentiable everywhere, then

A

`a=1/2, b = -3/2`

B

`a = -1/2, b=3/2`

C

a=1, b=-1

D

a=b=1

Text Solution

Verified by Experts

The correct Answer is:
B
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