(Calculus) How do i make a table of slopes of secant lines for f(x)= 2x^2 at X=2

Question

anonymous · Answer

I assume this is what you mean correct?
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anonymous · Answer

secant line requires two points, not one
if you only have one point you can find the slope of the tangent line though
which, if you have not done so yet, is what you are headed towards

anonymous · Answer

oh i see, a table

anonymous · Answer

@satellite73. I think what this person means is a table showing the slope of the secant line as the second point approaches the first point and therefore showing how the secant line slowly becomes the tangent line!

anonymous · Answer

one point will be $(2,8)$ you can pick points close to 2 and make a table that way
like for example $2.1$ or $2.01$ or $20..1$

anonymous · Answer

oops i meant $2.001$

anonymous · Answer

Haha, its basically illustrating the concept of the derivative as
$$\lim_{h\rightarrow0}{\frac{f(x+h)-f(x)}{(x-h)-x}}$$

goformit100 · Answer

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anonymous · Answer

Thank you

anonymous · Answer

So you are okay with the answer mustang?

anonymous · Answer

yes I am . @KeithAfasCalcLover :)