Define:
d/dx(f(x)) = f'(x)
where f'(x) = gradient (or slope) of f(x) at x = x.
Prove that:
d/dx(x^2) = 2x
without using calculus.
(In reply to
re(2): Err.... by friedlinguini)
In reply to your first comment, note how the first word of the problem
is "Define". The problem statement is defined strictly in "non-calculus"
terms, although i deliberately chose calculus symbology to
emphasize that the concepts are equivalent..
In reply to your second question, those methods do use calculus.
Ie, the problem says "without using calculus" which means
not at all, "sort of" doesnt count..