The derivative is often described as the instantaneous rate of change, the ratio of the instantaneous change in the dependent variable to that of the independent variable. [1] The …

导数（Derivative），也叫导函数值。 又名微商，是微积分中的重要基础概念。 当函数y=f（x）的自变量x在一点x0上产生一个增量Δx时，函数输出值的增量Δy=f (x0+Δx)-f (x0)与自变量增 …

Dec 12, 2025 · Derivative, in mathematics, the rate of change of a function with respect to a variable. Geometrically, the derivative of a function can be interpreted as the slope of the …

1. 导数 Derivative 1.1 定义 设函数 y = f (x) y=f\left ( x \right) 在点 x 0 x_ {0} 的某个邻域内有定义，当自变量 x x 在 x 0 x_ {0} 处有增量 Δ x \Delta x ，相应地函数取得增量 Δ y = f (x 0 + Δ x) − …

Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph

The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises.

It is all about slope! Slope = Change in Y / Change in X. We can find an average slope between two points. But how do we find the slope at a point?

If something is derivative, it is not the result of new ideas, but has been developed from or copies something else.

Definition of the Derivative The derivative of a function f is a new function, f (pronounced “eff prime”), whose value at x is: f (x) = lim h → 0 f (x + h) f (x) h if this limit exists and is finite. This …

The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line …