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Need Some Math Help

I have a small Calculus question.

Lets say I have a graph that isn't a function because it fails the vertical line test. Does a derivative graph exist for that graph. Meaning, can I derive a graph that isn't a function? Also technically, would any extremums or discontinuities exist if the graph isn't a function?

March 5, 2013

1 Comment • Newest first

frostdrake54

I don't think so. Because if the function does not exist, then you would have to take into account the discontinuity of the function. Therefore, the function may not exist at a particular x-value where f(x) =/= constant, but it may still exist at another y-value point.

Reply March 5, 2013