00:01
This problem's looking for the difference quotient of f of x is equal to 1 over x squared.
00:05
So i have that plugged in using our difference quotient up here.
00:10
And what we need to do is kind of simplify the numerator part here.
00:14
So what i can do there is find a common denominator between x squared and x plus h squared.
00:21
And that i'll just put x squared times x plus h.
00:25
And what do you times each of these by to get that denominator? while the first term there i need to multiply that by x squared.
00:34
One by x squared is just x squared minus.
00:37
That other one has a denominator of x squared, so i'm going to have to multiply by x plus h squared.
00:45
So now let's expand the numerator.
00:47
So it's going to be x squared minus.
00:48
This is just a foil problem, x plus h times x plus h...