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find maxima

Maximum at first derivative or second?

o.. sorry, take derivative ... the resulting function will give you speed.

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and the usual process of maxima

|dw:1334044638555:dw| The derivative graph looks something like this... where is the maximum?

do we have any interval of time given??

No, t>0

it seems that we have local maximum but's that negative ... I guess at infinity then.

Lol, but it's multiple choice..
A. t= 1
B. t= 2
C. t= 3
D. t= 4
E. t=5

the distance is actually decreasing.

http://www.wolframalpha.com/input/?i=x%28t%29+%3D+t%5E4+-+10t%5E3+%2B+29t%5E2+-+36t+%2B2

http://www.wolframalpha.com/input/?i=maxima+f%28t%29+%3D+4t%5E3+-+30t%5E2+%2B+58t+-+36

What does that mean for speed? Sorry, I do not understand..

http://www.wolframalpha.com/input/?i=maxima+d%28t%5E4+-+10t%5E3+%2B+29t%5E2+-+36t+%2B2%29%2Fdt

speed is rate of change of distance ... should always be positive.

Oh, ok thanks.

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