导函数

Theorem 1 If is differentiable at, and is a local extreme value of, then.

定理1 设函数在处可导，且在处取得极值，那么。

Let be defined on the open interval for some. If is differentiable at, and for any in

设函数在点的某邻域内有定义，并且在处可导，如果对任意的，有，那么。

The model is with the sum form of functions which are differentiable.

该模型具有可导连续函数相加的形式。

Be differentiable at . Then has first partial derivatives at , and

可微，则复合函数在点的一阶偏导数存在，且有

The combined mathematics of differential calculus and integral calculus.

微积分学中有关用导数与微分的观念讨论函数随独立变量改变的部分。

Which is called the arc differential of the curve.

设函数在区间内具有连续导数，且曲线上点的弧长为，则弧长的微分是。

Now let's discuss the solution of differential equation of the form y=f, and assume the function f has continuous partial derivative.

1现在讨论型如y=f的微分方程的解，这里假设函数f有连续的偏导数。

The main research aspects are as following. 1. The zero-order differential operator is constructed, based on the inside interpolation collocation method.

一、在内延拓配点的基础之上，构造了0阶导算子去对函数进行相应的级数展开和插值，证明了它对边缘效应和Gibbs现象的抑制作用。

To deal with this, Evolutionary Computation is introduced into the discriminative training of the models.

另外，直接基于最小分类错误的训练方法由于目标函数的不连续、不可导，也无法采用梯度方法。

For instance, a chiral or dielectric or conduct circular cylinder, a chiral or dielectric or conduct elliptic cylinder. 5. A general program to calculate any order and any type Mathieu function and its derivation is compiled.

编制了计算任意类、任意阶马丢函数及其导数的程序，此程序解决了多种不稳定性，通用性强，对计算没有任何附加限制，在普通微机上即可保证较高的计算精度和速度。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。