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

Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding of …

Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.

Example: What is ddx x 3? The question is asking "what is the derivative of x 3?" We can use the Power Rule, where n=3: ddx x n = nx n−1. ddx x 3 = 3x 3−1 = 3x 2 (In other words the derivative of x 3 is 3x 2)

导数\:f(x)=3-4x^2,\:\:x=5 隐函数求导\:\frac{dy}{dx},\:(x-y)^2=x+y-1 \frac{\partial}{\partial y\partial x}(\sin (x^2y^2))

The differential was first introduced via an intuitive or heuristic definition by Isaac Newton and furthered by Gottfried Leibniz, who thought of the differential dy as an infinitely small (or infinitesimal) change in the value y of the function, corresponding to an infinitely small change dx in the function's argument x.

The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation).

2014年12月2日 · \frac{d}{dx} 是微分算子，你应该把它当做一个线性算子， \frac{dy}{dx} 实际上是 \frac{d}{dx}\left( y \right) 。应该理解为施加在. y. 上的一个线性变换。

2015年5月2日 · By definition $(df)(x) = \lambda t\in\mathbb{R}:f'(x)\cdot t$. In other words, differential is the linear function (of an additional variable denoted $t$ here) whose tangent is …

2018年8月9日 · 矩阵求导公式 基本公式：y = a * x --> dy/dx = at, y = x * a --> dy/dx = a y=xt*a--> dy/dx = a y = a * x--> dyt/dx = at y = a * x -->dy/dxt =