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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(3): Err.... | Comment 5 of 26 |
(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..
  Posted by Cheradenine on 2002-07-31 22:19:13

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