mathcalculus
finding critical points with polynomial functions (attached)



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mathcalculus
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mathcalculus
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is it possible to use quadratic formula for this since it can't be factored...?

abb0t
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To find critical points you need to take a derivative.

mathcalculus
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okay, so 6x7

mathcalculus
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@abb0t

abb0t
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Now, set it equal to zero and find the roots. Those value(s) are your critical point(s).

mathcalculus
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i found one.

mathcalculus
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@abb0t

mathcalculus
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x=7/6

abb0t
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Yes,

mathcalculus
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critical point is ((7,6),0)?

mathcalculus
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it's marking me wrong.

mathcalculus
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@abb0t

abb0t
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why is it 0 when you clearly found the value to be \(\frac{7}{6}\)...

mathcalculus
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that's the problem.. after i find the critical point what do i do?

mathcalculus
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@abb0t

mathcalculus
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how would i write the point?

abb0t
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That is your only critical point.

mathcalculus
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just plug into original function?

mathcalculus
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yes but it has to be written as a point @abb0t

abb0t
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Yes, plug it into original.