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 process of finding a …

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)与自变量增量Δx的比值在Δx …

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 graph of the function …

高等数学学习笔记3——导数 Derivative和微分 Differential of a function

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?

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.

Complete beginner's guide to understanding derivatives in calculus. Learn what derivatives are, how to calculate them, derivative rules, examples, and real-world applications. Perfect for students.

For a function to have a derivative at a given point, it must be continuous at that point. A function that is discontinuous at a point has no slope at that point, and therefore no derivative.

导数 （英語： derivative）是 微积分 学中的一個概念。 函数 在某一点的导数是指这个函数在这一点附近的变化率（即函数在这一点的切线斜率）。 导数的本质是通过 极限 的概念对函数进行局部的线性逼 …