Calculating a Derivative Using the Definition of a Derivative - Example 1

In this video I go over a couple of examples of finding derivatives using the formal definition of a derivative.

The formula that I use is:

f'(x) = lim f(x+h) - f(x)
h--0 h

[kraziers]

After the cancelation of the largest segment, you have left 2hx + h^2 - 3h

How does that simplify to h(2x-3)? What about the extra h?

[universewithinyou]

I'm searching for some basic derivative equations with long solution then I found this video and I love it because I love long solutions

[sanantonioma.angelica]

in no. 3 question, after the cancellation of the like terms, where does -3 go? please reply ASAP

[vonpaulo]

u/v is the easiest formula for no. 3

uv^I+vu^I/v^2

[briansanto]

In the third example, how come the 3's do not cancel? since there's a positive 3 and a negative3?

[millionsnette]

Shouldn't the 3's cancel as well?