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The process of finding the derivative of a function in differential calculus. If y = f(x), the derivative of y, written dy/dx or f′(x), is equal to the limit as Δx → 0 of [f(x + Δx) − f(x)]/Δx. In general, if y = xn, then dy/dx = nxn−1. On a graph of y = f(x), the derivative dy/dx is the gradient of the tangent to the curve at the point x.

Subjects: Mathematics.

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