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Mathematics 18 Online
OpenStudy (anonymous):

if f(x)=1/x-1 what is the average rate of change of f between x and x+h?

OpenStudy (anonymous):

I got it down to (1/x-1) - (1) / (x-2) but i'm stuck afterwards

OpenStudy (nincompoop):

AVERAGE rate of change is just the slope without using limits

OpenStudy (nincompoop):

=[f(b) - f(a)]/(b-a) or =

OpenStudy (nincompoop):

or you can try to take the derivative since there will be at least one value when average rate of change = instantaneous rate of change if and only if the equation is continuous

OpenStudy (anonymous):

I get the formula, I honestly just have problems solving complex fractions? it's that what it's called?

OpenStudy (nincompoop):

no

OpenStudy (nincompoop):

what formula do you get?

OpenStudy (anonymous):

the first one f(b)-f(a)/b-a

OpenStudy (nincompoop):

are you taking calculus?

OpenStudy (anonymous):

no... alg/trig

OpenStudy (nincompoop):

http://www.youtube.com/watch?v=kWx6ICMyhWI

OpenStudy (anonymous):

I'll watch it thank you :)

OpenStudy (nincompoop):

difference quotient (x, f(x)) , (x+h, f(x+h))

OpenStudy (nincompoop):

any luck?

OpenStudy (anonymous):

I sort of get it...but it's not clicking somehow...

OpenStudy (anonymous):

what pretty much threw me off is not fact that f(x)=1/x-1 I can solve the other D.Q's that includes a function just fine, somehow not clicking with the fraction.

OpenStudy (anonymous):

is the fact*

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