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anonymous
 one year ago
find the difference quotient of f(x)= (2x)/(x1)
anonymous
 one year ago
find the difference quotient of f(x)= (2x)/(x1)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha can you please help me

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2we need to use formula f(x+h)f(x) over h right ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0instead of x im using a but yes

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2ohh okay so first we have to find f(a+h) substitute a for a+h

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and f(a+h)= (2a+2h)/(ah)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2the denominator would be a1 = (a+h)1 so it would be a+h1 it's not a multiplication

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2alright so now we can substitute f(a+h) for that into the formula \[\huge \rm \frac{ \frac{ 2a+2h }{ a+h1 } +\frac{ 2a }{ a1 } }{ h }\] now find the common denominator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you multiply it by h?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2first deal with the numerator 2a+2h/a+h1 + 2a/a1

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2what would be the common denominator ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2brb i'll login to other laptop

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0shouldnt it be a+h1?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2both denominator are not the same so we should multiply both denominator \[\huge\rm \frac{ (\color{Red}{a1})(2a+2h) + 2a(\color{blue}{a+h1}) }{ (a+h1)(a1)}\] and when we find common denominator we should multiply numerator of first fraction by the denominator of 2nd fraction

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2and multiply the numerator of 2nd fraction with the denominator of first

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443222925608:dw kinda like cross multiplication

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is a+1 conssidered one term?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2no term is separated by + or minus sign so two terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443223280971:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443223535245:dw that supposed to be 2a bec 2a times 1 = 2a :=)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we usually cancel terms out did i miss a minus symbol somewhere

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2ye .. there is a negative sign in the formula that's why i was thinkin why are we getting ugly answer :D

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\[\huge\rm \frac{ f(x+h) f(x)}{ h }\] sorry about it

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\[\huge\rm \frac{\frac{ 2h }{ a^2a+ahha+1 }}{ h }\] now simplify you can change division to multiplication

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes sorry i was rying to work it out

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2oh okay take ur time :)
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