Along with integration, differentiation is one of the two main branches of calculus. We use it when finding the gradient of a curve as opposed to a straight line. It is derived from a method known as differentiation from first principles, the formal technique for finding the gradient of a tangent.
This method states that by taking two points on a curve that lie very closely together, the straight line between them will have approximately the same gradient as the tangent there. Evidently, the closer these points are together, the better the approximation.
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