00:01
So the best way to approach this problem is to write everything with, i guess, the rational exponent.
00:08
So we're looking at 2x to the 7th.
00:11
Instead of writing 3 over x to the 4th, to go ahead and write it as 3x to the negative 4th plus 7x to the negative 3 4th.
00:23
And then that plus 5 is sort of pointless because it's a constant.
00:28
And the derivative of a constant is 0.
00:30
So we can jump right into the derivative where you move the exponent in front and multiply, so 2 times 7 is 14, and you subtract 1 from your exponent.
00:42
Same thing when the next one.
00:43
A negative times a negative is positive.
00:45
3 times 4 is 12.
00:47
When you subtract 1 from negative 4, you get negative 5.
00:51
Now the next one's kind of an ugly number because 7 times 3 is 21...