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How do I find the difference quotient? I already have the function of x and the equation and the restriction. How do I start?
 one year ago
 one year ago
How do I find the difference quotient? I already have the function of x and the equation and the restriction. How do I start?
 one year ago
 one year ago

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RadEnBest ResponseYou've already chosen the best response.0
share ur question, please...
 one year ago

heckyeahrobinBest ResponseYou've already chosen the best response.0
i have already plugged in (3+h) for x. what do i do next? @RadEn
 one year ago

RadEnBest ResponseYou've already chosen the best response.0
about derivative by using limit methods, right ?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\(f(6)=5\) so we keep that number
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
then compute \[f(6+h)=5+6(6+h)(6+h)^2\] to get \[5+36+6h(36+12h+h^2)\] \[=56hh^2\] then subtract 5 so that \(f(6+h)f(6)=6hh^2\) divide by \(h\) and get \(6h\)
 one year ago

heckyeahrobinBest ResponseYou've already chosen the best response.0
so i don't divide by H until i have plugged in both 6+h and 6 and simplified both? @satellite73
 one year ago

RadEnBest ResponseYou've already chosen the best response.0
smart way : f(x) = 5+6xx^2 f'(x) = 62x if u want find value of f'(6), u just plug in x=6 into f'(x) so, f'(6)=62(6)=612= ????????? but if u want using limit's method, like @satellite73 said
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
you do not divide by \(h\) until the end one reason is that you cannot divide by \(h\) until you have simplified the numerator so that everything without an \(h\) in it is gone
 one year ago

heckyeahrobinBest ResponseYou've already chosen the best response.0
Thank you!! both of your answers were very helpful!
 one year ago
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