What are the absolute extrema of f ( x ) = x 3 - 3 x + 1 ∈ [ 0 , 3 ] ?

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What are the absolute extrema of             f              (        x        )              =          x      3        -    3    x    +    1    ∈          [      0      ,      3      ]      ?

Alfonso Marsh · Accepted Answer

The right option is A   y  =  tan  ⁡  (  x  +  3  )We know,             d      y              d      x        =  1  +      y    2  ...(i)  ⇒            d      y              1      +              y        2              =  d  x  ⇒      tan          −      1        ⁡  (  y  )  =  x  +  c  ⇒  tan  ⁡  (  x  +  c  ), where c is arbitrary constant

What are the absolute extrema of f ( x ) = x 3 - 3...

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