00:01
We're asked to find the derivative of the following function.
00:06
And what i tell my students is to look for a group, look for a set of parentheses.
00:13
All right, there's your set of parentheses.
00:15
And it's to the fifth power.
00:17
And the reason why i do that is i tell students to actually write out your inner function is the t -cube minus one.
00:24
And then your outer function would be the two -something to the fifth power.
00:30
Because when your test would do in the chain rule, you do the derivative of the outermost function first.
00:36
That's that two something to the fifth power where you bring that exponent in front.
00:41
Well, five times two is ten.
00:43
You have to subtract one from your exponent, so it's down to the fourth power.
00:48
And so what you do is you leave the interfunction alone, that t -cube minus one, but then you have to multiply by the derivative of the inside...