00:01
For this problem, we want to find the derivative of f of x is equal to 2x squared plus 3x minus 4 using the four step process.
00:08
Now for the first step, we want to find f of x plus h.
00:12
So this is equal to 2 times x plus h squared plus 3 times x plus h minus 4, which we can expand into 2 times x squared plus 2xh plus h squared plus 2xh plus h squared plus 3xxxx squared plus h squared plus 3.
00:30
3x plus 3h minus 4, that's 2x squared plus 4xh plus 2h squared plus 3h minus 4.
00:43
And for the second step, you have to find the difference between f of x plus h and f of x.
00:51
So this is just from the step 1, you have 2x squared plus 4xh plus 2h squared plus 2h squared plus 2h squared plus 3x plus 3h minus 4.
01:03
We subtract this by f of x, which is 2x squared plus 3x minus 4.
01:11
This will cancel out 2x squared and 2x squared here, the 3x and 3x here, as well as the negative 4 from this term and from this term.
01:23
So we are left with 4xh plus 2h squared plus 2h squared plus...