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In fact the whole idea behind integrals and derivatives is that you take the limit as the change in your variable approaches zero.

For example, for a derivative you're taking the value of a function (y=f(x)) at two different points that are extremely close together. Then you find the slope by dividing the change in the function or "rise" (in this case dy) and divide it by the change in your variable or "run" (in this case dx). So the derivative of y is dy/dx.

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edit: Should've checked before posting :$.

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The lower case delta is reserved to denote the PARTIAL derivative of a function. Partial derivatives are used when the function has more than 1 variable eg f(z)=xy. We can't just say the derivative of, we must say the derivative of with respect to x or y. For single variable calculus, or regular diffentiation, which is what you want, its just a normal d.

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