2006-08-31 16:31:39 · 5 answers · asked by ariel s 1 in Education & Reference ➔ Higher Education (University +)
For a function to have a derivative at a particular point, it has to be the case that the slope of the tangent line approach the same value regardless of which direction you're coming from. A function composed of lines with two different slopes, for instance, will have no derivative at the point of conjunction even if they have the same value there for just this reason. However, a one-sided derivative only looks at the values on one side or the other, so that same function would have two different one-sided derivatives, depending on which side you were looking at.
You might say that a function has a derivative at a point if the two one-sided derivatives at that point are the same.
2006-08-31 16:39:25 · answer #1 · answered by Anonymous · 0⤊ 0⤋
One Sided Derivatives
2016-12-12 04:13:24 · answer #2 · answered by ? 4 · 0⤊ 0⤋
I think you mean one sided limits. The one sided limit is the value the function converges from approaching from one side. The two sided limit, or derivative can only be defined if the function is continuous at the point where the derivitive is taken.
2006-08-31 17:48:23 · answer #3 · answered by NordicGuru 3 · 0⤊ 0⤋
Are you talking about one sided limits?
2006-08-31 16:37:27 · answer #4 · answered by Starrydreams 1 · 0⤊ 0⤋
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2006-08-31 16:35:32 · answer #5 · answered by territheterribleliar 4 · 0⤊ 1⤋