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

Differentiate using the Exponential Rule which states that d dx [ax] d d x [a x] is axln(a) a x ln (a) where a a = a a. Free math problem solver answers your algebra, geometry, trigonometry, …

Introduction to derivative of exponential function a^x with respect to x formula with proof from first principle to prove d/dx (a^x) = a^x.ln(a)

2023年2月5日 · The derivative of x x is equal to x x (1+ln x). That is, d/dx(x x)=x x (1+ln x). This can be proved by the logarithmic differentiation. Here, ln=log e. In this post, we will learn how …

Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [f (g (x))] is f '(g(x))g'(x) f ′ (g (x)) g ′ (x) where f (x) = ex f (x) = e x and g(x) = xln(x) g (x) = x ln (x). Tap for more steps...

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))

小写字母abc代表常量或常向量，小写字母表示xyz表示列向量，x'y'z'表示行向量，大写字母XYZ表示矩阵，d表示微分。 一律采用 分母布局 ，因为我所看过大多数论文以及机器学习书上采用 …

2024年3月1日 · 倒数法则：d/dx (1/f (x)) = - (1/f (x)^2) * d/dx (f (x))

Since a a is constant with respect to x x, the derivative of ax a x with respect to x x is a d dx [x] a d d x [x]. a d dx [x] a d d x [x] Differentiate using the Power Rule which states that d dx [xn] d d x …

设Δx是曲线y = f(x)上的点M的在横坐标上的增量，Δy是曲线在点M对应Δx在纵坐标上的增量，dy是曲 线在点M的切线对应Δx在纵坐标上的增量。 当|Δx|很小时，|Δy－dy|比|Δx|要小得多( 高阶 …