I mean, in this form, actually it's the same statement as in single variable calculus.
我指的是,在这种形式下,它和一元微积分的表述是一样的。
Very good. OK, that's at least one thing you should remember from single variable calculus.
非常好,这是一元微积分中,你们至少应该记住的。
When you compute an integral in single variable calculus, you don't do that. You don't cut into little pieces and sum the pieces together.
当计算一个单变量的积分时,你不会这样做的,不会分割出一个个小块,再对这些小块求和。
It is the same thing as, in one variable calculus, when you take the anti-derivative of a function it is only defined up to adding the constant.
相当于在一元微积分中,取一个函数的不定积分,仅仅需要在结果后加一个常数。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
作为引子,你们可能已经知道了,一元微积分里面的一个小把戏,也就是求隐函数微分法。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
作为引子,你们可能已经知道了,一元微积分里面的一个小把戏,也就是求隐函数微分法。
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