Other ways of expressing a derivative.

[jasonlr82794]

Hey, I was wondering if there is another way of expressing the derivative 2x(the derivative of the function x^2). I was wondering because there doesn't seem to be a y part to this. Like in y/x, a change in x makes a change in y. So how would I express this with y as well?

 

[SteamKing]

If y = x^2, then dy/dx = 2x.

 

[jasonlr82794]

Yeah, I know, but what does the y have to do with the 2x?

 

[Mandelbroth]

Yeah, I know, but what does the y have to do with the 2x?

If $y=x^2$, then 2x is the instantaneous rate of change of y at x.

 

[AmritpalS]

dy/dx=2√y ? not exactly sure what you're asking..

 

[NascentOxygen]

Yeah, I know, but what does the y have to do with the 2x?

At any point x, the slope of the y=x² curve is known and is equal to 2x.