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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.)
re(2): Hmmmm | Comment 16 of 26 |
(In reply to re: Hmmmm by TomM)

the question is, if you had to determine the gradient of y = x^2 at any point, back in say 1000 A.D. how would you do it? that is how i came up with this when learning calculus..

in the version you suggest youre basically removing half of the
problem, plus, in my opinion, making it much less appealing and
interesting to solve. the fact that its "calculus without calculus"
is what i think makes it cool. (thats why i chose "No Calculus" name)
  Posted by Cheradenine on 2002-08-01 06:22:21

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