Best answer:
Yes and no.
d is used if Δ is very small, infiniesimally small, then Δ is a differential.
While Δy/Δx is the slope over some "normal size" interval, this slope is the average rate of change on that interval
but dy/dx being measured over a very small interval essentially gives the slope at a single point,...
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Best answer: Yes and no.
d is used if Δ is very small, infiniesimally small, then Δ is a differential.
While Δy/Δx is the slope over some "normal size" interval, this slope is the average rate of change on that interval
but dy/dx being measured over a very small interval essentially gives the slope at a single point, an instantenous rate of change.
The "equality" only works one way, you can say dy/dx is a form of Δy/Δx, but not the other way around, e.g.
dy/dx ==> Δy/Δx is true
dy/dx <==> Δy/Δx is not true
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11 hours ago