#Need an idea that doesn't involve intense calculation (or multiplying all of the parenthesis)
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Take a look and see if you can set any of the subtraction to 0
For example f(1)
1-1= 0
So the multiplication is all zero
Yup
Yea
Then just add 7
The extension of the product rule to multiple functions runs like so: (fgh)' = (f(gh))' = f'(gh) + f(gh)' = f'gh + f(g'h + gh') = f'gh + fg'h + fgh'
So if you take the derivative, all but the one specific term that contains (x - 8)' will include (x - 8), meaning it goes to 0 at x = 8.
...no.
Did you not see what I said?
...what's the derivative of x - 8?
Which means that there is a term here that does not contain (x - 8), because it contains (x - 8)' = 1.
And what term would that be?
...almost.
Right.
So if we plug x = 8 into that, what do we get?
Right.
You can give me rep by pinging me and saying "thanks", but I don't know if the bot is up.
Okay, guess it is.
@barren thunder has given 1 rep to @errant depot