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anonymous
 one year ago
f(x)=6x^2+5
(f(a+h)f(a))/h
anonymous
 one year ago
f(x)=6x^2+5 (f(a+h)f(a))/h

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So in this example f(x)=6x^2+5, if I told you find f(2) would you know what to do?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes its just plugging it in to the function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You would plug 2 in everyplace there was an x. In the problem above there is an (a+h) in the argument. So every place you see an x in the original replace it with (a+h). Then the second part shows f(a) so plug a in for every instance of x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then continue to manipulate algebraically

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(a+h)=6(a+h)^2 +5 =6(a^2 +2ah +h^2)+5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[6(a^2 +2ah +h^2)+5 = 6a^2 +12ah +6h^2 +5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and then subtract that from 6a^2+5?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i got 12ah+6h^2+10

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 6a^2 +12ah +6h+5(6a^2 +5) }{ h }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 12ah +6h }{ h }=\frac{ h(12a+6) }{ h }=12a+6\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im sorry but it says its wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I see my mistake.... look up at the equation I posted just after you said "So divide by h?". In that equation I had 6h in the numerator. it should have been 6h^2. Then you would have had 12a+6h as an answer sorry about that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhh okay got it, thanks!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It should only be \(\huge 12a\).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're finding the derivative, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no his answer was right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok if that's what you're saying.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Maharot there is one thing missing for it to be a derivative. This was an example of the "difference of a quotient" function which represents the slope of a line secant to two points on a curve. If you wanted a derivative you are asking for the slope of that same curve but at any point. In order to do that you need to consider the "h" in the above problem as a change in the x direction and then take the limit as delta x approaches infinity. That is to say that the two points on the curve are the same and the slope represented is at a point rather than in between two points
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