Find and simplify the difference quotient of f, [ f(x+h) - f(x) ] / H f(x) = 1/6x

[Juxtaposition109]

Find and simplify the difference quotient of f, [ f(x+h) - f(x) ] / H f(x) = 1/6x

I've done this one a few times but it's having the fraction that is messing me up.

The difference quotient w/ f(x) = 1 / 6x

[ 1/6(x+h) ] - 1/6x all divided by H

 

[Deleted member 4993]

I've done this one a few times but it's having the fraction that is messing me up.

The difference quotient w/ f(x) = 1 / 6x


[ 1/6(x+h) ] - 1/6x all divided by H

Is it:

\(\displaystyle f(x) = \dfrac{1}{6x}\)

or

\(\displaystyle f(x) = \dfrac{1}{6}x\)
What are your thoughts?

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[stapel]

Find and simplify the difference quotient of f, [ f(x+h) - f(x) ] / H f(x) = 1/6x

Is there supposed to be a comma or a semicolon or something between the "H" and the "f(x) = 1/6x"? Also, what is the relationship, if any, between "h" and "H"?

I've done this one a few times...

Please reply with a clear listing of your efforts for at least one of the "few times" that "[you]'ve done this one", so we can see where things are going sideways. Thank you!