Find all critical numbers by hand. Use your knowledge of the type of graph (ie. parabola or cubic) to determine whether the critical numbers represents a local maximum, local minimum, or neither.

f(x) = x^3 - 3x + 1

Question

Find all critical numbers by hand.  Use your knowledge of the type of graph (ie. parabola or cubic) to determine whether the critical numbers represents a local maximum, local minimum, or neither.

f(x) = x^3 - 3x + 1

anonymous · Answer

@electrokid  can u help

anonymous · Answer

ok, now .. what are critical points?

anonymous · Answer

Points on the graph of a function where the derivative is 0 or the derivative does not exist.

anonymous · Answer

no.
Critical point is a point where the function changes its direction.
i.e., if a function is increasing, after critical point, it starts to decrease and vice-versa.

anonymous · Answer

ohh ok

anonymous · Answer

when can this happen.. 
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