where f'(x) = gradient (or slope) of f(x) at x = x.

Prove that:
d/dx(x^2) = 2x

without using calculus.

"Define f(x) = x². Define f'(x) as the slope of the curve generated by f(x) for any given value of x. Prove that f'(x) = 2x."

i agree, that sounds like a good formulation. levik, feel free
to change it to this if you think this is clearer. (adding the
dont use calculus bit)

here's another hint:

tangents and circles

Posted by Cheradenine on 2002-08-02 05:09:55