Page:Calculus Made Easy.pdf/48

 Let us illustrate this example by working out the graphs of the equations $$y=7x^2$$ and $$\frac{dy}{dx}=14x$$, by assigning to $$x$$ a set of successive values, $$0, 1, 2, 3,$$ etc., and finding the corresponding values of $$y$$ and of $$\frac{dy}{dx}$$.

These values we tabulate as follows:

Now plot these values to some convenient scale, and we obtain the two curves, Fig. 6 and 6a.