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1. The local derivative of the function f(x, y) at point (a, b) is equal to the partialderivative of f with respect to x at point a and the partial derivative of f with respect to y at point b.
函数f(x, y)在点(a, b)处的局部导数等于f关于x的偏导数在点a处和f关于y的偏导数在点b处。
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2. In calculus, the local derivative refers to the rate of change of a function at a specific point in space or time.
在微积分中，局部导数指的是函数在空间或时间特定点的变化率。
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3. The local derivative can be used to find the maximum or minimum value of a function at a particular point.
局部导数可以用来找到函数在特定点的最大值或最小值。