Question

question: if 6delta x*x+3deltax^2/ delta x then can we factor and cancel delta x?

Answer 1

\[\frac{ 6deltax*x +3deltax^2 }{ deltax }\]

Answer 2

example: can we factor delta x out? and be left with 6x+3deltax?

Answer 3

or does the delta x next to the 3 also get cancelled

Answer 4

@Psymon @genius12 @dumbcow @satellite73

Answer 5

no you are correct...i am assuming its (delta x)^2 right?

Answer 6

nah it's exactly how i wrote it. i was trying to simply and i was wondering if there a delta x inside the parenthesis gets cancelled by crossing it out or does deltax=0 and so we only work with 6 only (x) which (x=-6) which = -36

Answer 7

does this have to do with limits and definition of derivative?

Answer 8

yes

Answer 9

@mathcalculus Yes you can.

Answer 10

\[\bf \frac{ 6x \Delta x+3(\Delta x)^2 }{ \Delta x }=\frac{ 3 \cancel{\Delta x}(2x+ \Delta x) }{ \cancel{\Delta x} }=3(2x + \Delta x)\]

Answer 11

@mathcalculus

Answer 12

thank you @genius12