Real world applications of Parametric Differentiation.

[arianabedi]

Hi, for a presentation I am requested to give some examples of the Real world applications of Parametric Differentiation.

Now i know its to do with a differentiation of 3 variables that are connected, but for the love of god i cannot think of any examples of its practical uses.

any help would be great, if someone could give a very non detailed example of its usage, that'll be terrific.

 

[hawaiifiver]

Well ordinarily you have a function y(x), where x is the independent variable and y is the dependent variable.

With parametric derivatives (of x(t) and y(t) let's say, which depend on t) you have x'(t) and y'(t) . Here x and y are dependent and a function of independent variable t.

So I think some applications of your parametric differentiation would be simple harmonic motion. Have you ever seen those diagrams where the pendulum is going around a circle and this is representing the period of oscillation? That can be described in terms of x'(t) and y'(t).