Derivative

Rate of change as a limit valueFigure 1. The tangent line at (x, f(x))Figure 2. The secant to curve y= f(x) determined by points (x, f(x)) and (x+h, f(x+h))Figure 3. The tangent line as limit of secantsFigure 4. Animated illustration: the tangent line (derivative) as the limit of secants

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time is advanced.

单词	Instantaneous velocities
释义	Instantaneous velocities 英语百科 Derivative The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time is advanced.
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Instantaneous velocities

Derivative