So its partial derivative with respect to m is 0.

所以它关于斜率m偏导数为0。

There you take the derivative and set it equal to 0.

在那里, 你取导数并将其设置为等于0。

The derivative of your position would now always be i times itself.

你现在位置导数总是i乘以它自己。

Or are we into the third derivative?

或者我们已经进入到了三级导数？

And then you take the second derivative, de-development over time, and that's evolution.

然后你取时间二导数，即去发展，这就是进化。

It's too much second derivative, so to speak.

可以这么说，这是过于复杂二导数。

Most great things in life are second derivatives of things.

生活中最伟大都是二导数。

To find a maximum I want the second derivative to be negative.

为了找到最大值，我希望二导数为负。

In other words, its change -- and therefore its derivative -- must be negative.

换句话说，改变它...... 等等 它导数… … 它一定是负数。

That one corresponds to the derivative of five X squared.

这个对应于5x²导数。

Now let’s try to find a couple more derivatives using the power rule.

现在让我们尝试使用幂法则找到更多导数。

Minus the derivative of the potential is just the force.

减去势导数就是力。

I take a look at the second derivative, which is the second order condition.

我看了一下二导数，也就是二条件。

So I differentiated this object, this is my first derivative and I set it equal to 0.

所以我对这个对象进行了区分，这是我一导数，我将它设置为 0。

We can actually try to guess the derivative of sin(x) just by looking at its graph.

我们可以猜测 sin(x) 导数 只看图表。

Familiar example comes from calculus, the derivative.

我们熟悉例子来自微积分 导数。

Now, when it comes to how you can express a derivative in writing, mathematicians have come up with shortcuts.

现在，当涉及到如何以书面形式表达导数时，数家们想出了捷径。

So the derivative with respect to m is 2bn times the mean of the x's.

所以关于斜率m偏导数是2bn乘以x均值。

So, anybody who's done calculus knows that the first derivative is good, the second derivative is not so good?

所以， 任何过微积分人都知道， 一导数是好，二导数就没那么好了？

We set the thing we found, the derivative, equal to 0.

我们将发现导数设为 0。