So its partial derivative with respect to m is 0.

所以它关于斜率m的偏导为0。

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

在那里, 你取导并将其设置为等于0。

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

你现在的位置的导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？

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

然后你取时间的二导，即去发展，这就进化。

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

可以这么说，这过于复杂的二导。

Most great things in life are second derivatives of things.

最伟大的事物都事物的二导。

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

为了找到最大值，我希望二导为负。

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

换句话说，改变它...... 等等 它的导… … 它一定负。

That one corresponds to the derivative of five X squared.

这个对应于5x²的导。

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的导。

Minus the derivative of the potential is just the force.

减去势的导就力。

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

我看了一下二导，也就二条件。

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，这我的一导，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) 的导 只看图表。

Familiar example comes from calculus, the derivative.

我们熟悉的例子来自微积分 导。

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时，学家们想出了捷径。

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

所以关于斜率m的偏导2bn乘以x的均值。

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

所以， 任何学过微积分的人都知道， 一导好的，二导就没那么好了？

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

我们将发现的导设为 0。