00:01
So here we have the function f of x is equal to 1 minus x squared, and we can use the limit definition in order to find the derivative of this function.
00:08
So our limit definition is the limit as h approaches 0 of f of x plus h, our modified function, minus f of x, our original function, all over h.
00:20
So let's go ahead and begin.
00:24
We have the limit as h approaches 0, or modified function, 1 minus x plus h squared.
00:37
Minus our original function, so minus 1 plus x squared, because the negative needs to distribute to our entire function over h.
00:52
So now we can go ahead and distribute out or factor out our x plus h squared, which will give us the limit as h approaches 0 of 1 minus x squared minus 2xh plus h squared.
01:21
Minus 1 plus x squared, all over age...