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Let f (x)= [{:(x ^(2)+a,0 le x lt 1),( 2...

Let `f (x)= [{:(x ^(2)+a,0 le x lt 1),( 2x+b,1le x le 2):}and g (x)=[{:(3x+b,0 le x lt 1),(x ^(3), 1 le x le 2):}`
If derivative of `f(x)` w.r.t. `g (x ) at x =1` exists and is equal to `lamda,` then which of the followig is/are correct?

A

`a+b=-3`

B

`a-b=1`

C

`(ab)/(lamda)=3`

D

`(-b)/(lamda)=3`

Text Solution

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The correct Answer is:
A, B, C, D
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