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No calculus (Posted on 2002-07-31) Difficulty: 4 of 5
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.

See The Solution Submitted by Cheradenine    
Rating: 3.2000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question re: hint(2) | Comment 14 of 26 |
(In reply to hint(2) by Cheradenine)

OK

So am I correct in assuming that this "proof" only applies to f(x) = x² because its graph is a parabola. And that we can use the definition of a parabola to find the line which is tangent to the parabola at any given point?
  Posted by TomM on 2002-08-01 05:41:19

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