diff

[gray tulip]

how do i set up this: show using diff from first principles that derivative of 8x^3 is 24x^2

[royal pumice]

You use the formula

Then you’d replace all the Xs in your original function with (x + h) for the first part of the numerator

[robust kite]

Isn’t differentiation where you make the cube into a squared and bring the 3 to the front?

24x^2+48x ?

[royal pumice]

Yeah

That’s the standard way of doing it, it comes from differentiation by first principle

The differentiation from first principle is basically the proof

And you’d never use it unless it’s specifically asks in the question

[royal pumice]

differentiation from first principle

[paper bloom]

Find f(x+h) and then do f(x+h) - f(x) and then use the formula

[robust kite]

@warped arrow

[warped arrow]

COLD

[gray tulip]

would it be (x,8x^3) (x+h, 8(x+h)^3)

[paper bloom]

f(x+h) - f(x) should be = 8(x+h)^3 - 8x^3

should get this @gray tulip

could use binomial to do the triple bracket but

why

i just think it makes it harder