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

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

without using calculus.

Wow... that explains a lot of things. You're really asking for a calculus-less proof that the slope of

y = x²

is always going to be 2x for any given x. It's the damn "gradient" term that threw me off. Never heard "slope" referred to as such.

Posted by levik on 2002-08-01 05:28:24