00:01
Our task is to find the derivative of this problem, which is going to require some product rule and the chain rule, because what i would do is rewrite that cube root as to the one -third power to make a problem a little bit easier.
00:19
So let me show you how i would rewrite that problem.
00:22
Still have t, but then replace this t -square -minus one instead of the cube root to make it the one -third power.
00:28
So you can identify the product, right there's the product, so you can use the product rule.
00:34
And that product rule would say, okay, well, dv, d t, the notation for the derivative.
00:41
You take the derivative of the left side, which is just one.
00:44
So leave the right side alone and be up to you if you want to switch back to the cube root of t squared minus one.
00:53
And then plus, now you leave t alone, and then you take the derivative of the right side...