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

Let `f(x)= {{:(1+ sin x, x lt 0 ),(x^2-x+1, x ge 0 ):}`

A

f has a local maximum at `x=0`

B

f has a local minimum at `x=0`

C

f is increasing everywhere

D

f is decreasing everywhere

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The correct Answer is:
A
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