My professor gave us a sheet that had the calculus of functions in different formats. The sheet isn't making any sense to me though.

Derivatives: , ,

Integrals:

Arc Length:

Should the letters correspond?

x goes with f

y goes with g

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- Apr 24th 2013, 05:13 PMamthomasjrCalculus of parametric function
My professor gave us a sheet that had the calculus of functions in different formats. The sheet isn't making any sense to me though.

Derivatives: , ,

Integrals:

Arc Length:

Should the letters correspond?

x goes with f

y goes with g - Apr 24th 2013, 05:59 PMchristianwosRe: Calculus of parametric function
You are right. The letters x and y should be inverted. What the sheet says is that the both x and y depend on the 'parameter' t. therefore you can write both x and y as functions of t. Hence the definition of x=f(t) and y=g(t).

For example, you can think of x and y as the coordinates of motion of a particle in two dimensions. As the particle moves in time, the coordinates of the point, that is (x,y), change. I think your prof just mistakenly inverted x and y. - Apr 24th 2013, 06:18 PMamthomasjrRe: Calculus of parametric function
Thanks for clearing that up