Hi,

I calculated the derivative of this parabola:

Parabola: $\displaystyle y = \frac{1}{4} x^2$

Derivative: $\displaystyle \frac{dy}{dx} = \frac{1}{2} x$

So what exactly does this derivative mean? I'm going from one function to another, but what can I possibly deduce from the second function?

Thanks.