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dx

Definition

In calculus, dx represents an infinitesimally small change or increment in x. It is often used when finding derivatives or integrating functions.

Analogy

Imagine you are driving along a road and dx represents an incredibly tiny distance you travel. It's so small that it's almost like not moving at all, but it still contributes to your overall journey.

Related terms

Derivative: A derivative measures how much one quantity changes with respect to another quantity. It represents the rate of change or slope of a function at any given point.

Integral: An integral calculates the area under or between curves by summing up infinitely many infinitesimal rectangles or slices. It can be thought of as reverse differentiation.

Limit: A limit describes what happens as one variable approaches a certain value or as it goes towards infinity or negative infinity. Limits are fundamental for understanding continuity, derivatives, and integrals in calculus.