00:01
The fact that they give us f prime of x is equal to one -half x to the negative one -half power.
00:11
The first thing you want to do to solve this correctly is to, i guess, integrate.
00:16
And what you eventually learn, if you haven't learned already, is that the integral of the derivative undoes it.
00:26
So then we can find the anti -derivative by adding one to the exponent.
00:32
So negative one -half plus one gives me positive one -half.
00:36
So this working blue is getting to that answer.
00:42
And sometimes what i'll do is instead of dividing by that new number, what i try to do is multiply by the reciprocal of your new exponent.
00:51
So this one -half, i try to color -coded.
00:54
So it's clear that this just cancels out to be one.
00:56
Now, i could have said divide by a new exponent, you would get the same answer...