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Let f(x)={(int0^x (5-abs(t-3))dt,x gt 4)...

Let `f(x)={(int_0^x (5-abs(t-3))dt,x gt 4) ,(x^2+bx,xle4):}` and `f(x)` is continuous at x=4 then which of the following is correct

A

`f(x)` is differentiable at `x=4`

B

`f(x)` is decreasing in `(-oo,1/8)uu(8,oo)`

C

`f'(3) + f'(5) =37/4`

D

`f(x)` is n=minimum at `x=1/8`

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