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Let f(x)={{:(ax" ,",,x lt 2),(ax^(2...

Let `f(x)={{:(ax" ,",,x lt 2),(ax^(2)+bx+3",",,x ge 2):}`
If f is differentiable for all x, then value of (a, b) is equal to

A

`(1,2)`

B

`((3)/(2),(9)/(2))`

C

`((3)/(4),-(9)/(2))`

D

`((3)/(4),-(9)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
D
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