Question

(x+delta x) ^3

Answer 1

do you want this expanded?

Answer 2

yes pleasei know its easy but its time consuming

Answer 3

x^3+3x^2 dx + 3x dx^2 + dx^3

Answer 4

dx meaning delta x

Answer 5

by any chance are using the method of increments?

Answer 6

Binomial theorem.

Answer 7

im finding the derivative of a funtion

Answer 8

i assume the original function is x^3 right

Answer 9

ah then you need to subtract x^3

Answer 10

That gives you 3x^2 dx + 3x dx^2 + dx^3

Answer 11

no its x^3 + x ^2

Answer 12

Then you need to divide it by dx

Answer 13

3x^2 + 3 x dx + dx^2

Answer 14

what now?

Answer 15

And then you take the limit as dx approaches 0.

Answer 16

you know there are a couple of methods to finding the derivative basically they are all the same, but i really like this one particular one called method of increments.

Answer 17

Which is in this case easy, so you are left with 3x^2 which is indeed the derivative of x^3

Answer 18

your question reminded me of it :)

Answer 19

I know I just explained you how to do it by increments.

Answer 20

Just read what I wrote.

Answer 21

i know how to find the derivative i just wanted it to be distributed

Answer 22

relax, ythenaifold, i know what you wrote, i was simply expressing my thoughts.