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Let f(t)=(t2+7t+7)(7t2+6).

Find f′(t).

I can't figure out what I am doing wrong please help.

 Feb 19, 2016
 #1
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I'm assuming that this is :

 

f(t)=(t^2+7t+7)(7t^2+6).   if so....let's just expand it  [ this prevents us from having to use the Product Rule to get the derivative.......differentiating a single polynomial is much easier...!!! ]

 

So we have

 

f(t)  =  7 t^4+49 t^3+55 t^2+42 t+42

 

So....

 

f ' (t)  =  28t^3 + 147t^2 + 110t + 42

 

 

cool cool cool

 Feb 19, 2016

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