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partial derivative of [function] with respect to [variable]
The partial derivative of f(x,y) with respect to x is denoted ∂f/∂x.
函数f(x,y)关于x的偏导数记作∂f/∂x。
偏导数
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偏导数
a derivative of a function of several variables with respect to one variable, treating the other variables as constants
The partial derivative of f(x,y) with respect to x is denoted ∂f/∂x.
函数f(x,y)关于x的偏导数记作∂f/∂x。
多变量函数关于其中一个变量的导数,其他变量保持不变。
A derivative with respect to one variable of a function of several variables with the other variables held constant.
In multivariable calculus, the partial derivative of f with respect to x measures how f changes as x varies while y is held constant.
在多变量微积分中，f关于x的偏导数衡量当y保持不变时f随x变化的情况。
To find the rate of change of temperature along the x-axis, we compute the partial derivative of the temperature function with respect to x.
为了找出温度沿x轴的变化率，我们计算温度函数关于x的偏导数。
Economists often use the partial derivative to analyze the marginal effect of one input while keeping other inputs fixed.
经济学家常使用偏导数来分析在固定其他投入时一种投入的边际效应。
The partial derivative of f(x,y) with respect to x is denoted ∂f/∂x.
函数f(x,y)关于x的偏导数记作∂f/∂x。
To find the gradient, take the partial derivative of each variable.
为求梯度，对每个变量取偏导数。
We computed the partial derivatives of the cost function.
我们计算了成本函数的偏导数。
Not this
We need to compute the part derivative of z with respect to y.
Use this
We need to compute the partial derivative of z with respect to y.
中文'偏导数'中的'偏'对应partial，而'部分'是part，学生容易直译导致错误。
Not this
The partial derivative of f to x is 2x.
Use this
The partial derivative of f with respect to x is 2x.
中文表达'关于x的偏导数'，学生可能误用介词'to'代替'with respect to'。
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数学术语，用于微积分中，表示多元函数关于一个变量的导数，其他变量视为常数。
页面下方列出了常见词形变化。学习时注意它们在句子中的语法位置。
Dictionary facts from ECDICT, WIKTIONARY.