Let f(t)=(t2+7t+7)(7t2+6).
Find f′(t).
I can't figure out what I am doing wrong please help.
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