Properties of the Derivative导数的性质
The derivative has certain special properties when applied to combinations of functions. 当导数应用于函数组合时,具有某些特殊性质。
Derivative of the product of two functions两个函数乘积的导数
If the function f(x) is a product of two functions m(x) and n(x), then the derivative of this product is 如果函数 f(x) 是两个函数 m(x) 和 n(x) 的乘积,那么这个乘积的导数为
![]() Derivative of the sum of two functions两个函数之和的导数
If the function f(x) is a sum of two functions m(x) and n(x), then the derivative of this sum is simply the sum of the derivatives: 如果函数 f(x) 是两个函数 m(x) 和 n(x) 的和,那么这个和的导数就是这两个导数的和:
![]() Chain rule for differentiation微分的链式法则
If the function y = f(x) and x=g(z), then the derivative of y with respect to z can be written as a product of derivatives: 如果函数 y = f(x) 且 x = g(z),则 y 对 z 的导数可以表示为两个导数的乘积:
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Index Derivative concepts 索引导数概念 | ||
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