00:01
Our task is to find the derivative of this giant quotient x minus 1 over x minus 3 cubed.
00:15
And as i mentioned, we have a quotient.
00:19
But inside of this quotient in the denominator, you have a function inside of a function.
00:25
So that's where your chain rule is located, although the chain rule is not very exciting on this problem.
00:31
So let's jump right into the quotient rule where you take.
00:33
The derivative of the top, which is just one, you leave the bottom alone, minus, now you leave the top alone, times the derivative of the bottom, which is the chain rule, you bring the three in front, and you subtract one from the exponent.
00:50
Now it is a chain rule, but the derivative of the inside is just one, so not a whole lot going on there.
00:56
All over the denominator, x minus three, cube squared.
01:02
Well, if you take a power to a power, you multiply, so three times two becomes to the six power...